What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)

Answers

Answer 1

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!


Related Questions

I need help because i don't understand ?

Answers

Answer:

Step-by-step explanation:

You have to pick two points and then find The slope

josie and caitlin share sweets in the ratio 2:7 caitlin has 10 more sweets than josie how many sweets does caitlin have

Answers

Caitlin has 14 sweets.

Which equation is equivalent to the given equation? Pls help

Answers

The answer is 2x²+12x+16=0


Write down the integer values of x that satisfy the inequality -2 < x _<4

Answers

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

To learn more about the inequalities visit:

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need help with functions

Answers

Answer: ur right

Step-by-step explanation:

Is the following relation a function?
{(4, 5), (5, 6), (4,3), (7, 8)}

Answers

Answer:

No

Step-by-step explanation:

If there's a repitition in the X values of the pair   (x,y), it is not a function.

i don’t understand this at all

Answers

Answer:

x=8

Step-by-step explanation:

You would set them equal to each other to get 9x-13=6x+11.

You would them move 6x over so -6x on both sides. This would then get you 3x-13=11.

Then move the -13 over so add 13 to both sides to get 3x=24

Then get x by itself so divide by 3 to get x=24/3.

Then that simplified is 8

Find the square roots of 16

Answers

[tex]\longmapsto \sqrt{{16} } \\ \\ \longmapsto{4} [/tex]

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

A box is created from a rectangular piece of cardboard 20 centimeters by 28 centimeters by cutting a square from each corner and folding up the sides, as shown in the diagram. Write an expression for the volume of
the box as a polynomial in standard form.

Answers

the adems vibrate to make angles shift in an illusiun in a problem so its simpley cordaography

The volume of the box as a polynomial is x³-48x²+560.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a box is created from a rectangular piece of cardboard 20 centimetres by 28 centimetres by cutting a square from each corner and folding up the sides,

Volume of a cuboid = L*B*H

Volume = x(x-20)(x-28)

= x(x²-28x-20x+560)

= x(x²-48x+560)

= x³-48x²+560x

Hence, The volume of the box as a polynomial is x³-48x²+560.

For more references on volume, click;

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What’s the slope of the line on the graph?

Answers

The slope would be 2x

Are these equilateral isosceles or scalene I’ll give brainlest if right

Answers

Answer: 7) isosceles 8) scalene 9) congruent 10) scalene 11) isosceles 12) congruent

Step-by-step explanation: Scalenes have two matching sides, congruent has all matching sides, and scalene has no matching sides :)

9: equilateral
8: scalene
7: isosceles
10: scalene
11: isosceles
12: equilateral

sorry if i'm wrong <3

what is the slope of the line determine by the cordinates (0,0) and (2,1.2)

Answers

Answer:

[tex]\displaystyle m=0.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 1.2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{1.2-0}{2-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{1.2}{2}[/tex][Fraction] Divide:                                [tex]\displaystyle m=0.6[/tex]

If Cathy receives all the discounts (30%, 20%, 10%, 15%, and an additional 20% Holiday Bonus Bucks discount, how much will she pay for the $90 sweater?

Answers

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Enter the equation of the line in slope-intercept form. Slope is 1/5 and (5,6) is on the line.

Answers

Answer:

y = 1/5x + 5

Step-by-step explanation:

If you plot (5,6) on a graph, and count down 1 point, and over to the left 5 points, you will get to the y-axis. Then, the point that is on the y-axis is the y-intercept. That is 5. The 5 goes at the end of the equation.

the question is in the pic​

Answers

Answer:

d the bottom one

Step-by-step explanation:

both are a right angle and are the exact same shape

please help me there is a pic thankyou ​

Answers

Answer:

2

Step-by-step explanation:

y^m x y^n = y^m+n

so y^-4 x y⁶ = y^-4+6

-4+6=2

NOTE: ^ means to the power of

e.g: y^2 is y² :)

n=2 since the bases are the same which is y you can just add them -4+6=2.

D What is the range of the sugar content of the cookies at Bake Stars Café? Bake Stars Café Cookies 1 : + 14 8 9 10 11 12 13 + 1 2 3 4 5 6 7 Sugar per Cookie (grams) median = 5 shape = skewed right thing grams to ? grams DONE LOW VALUE HIGH VALUE​

Answers

Answer:

Step-by-step explanation:

low 2 high 13

pls help and SHOW WORKINGS
It due ASAP

Answers

Answer:

Any real number strictly larger than 9 and strictly less than 21.

Step-by-step explanation:

By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.

We therefore could set up three inequalities.

x+6>15, x+15>6, 15+6>x

Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.

4. Is the point (5,-26) a solution to the following
system of equations? Show your work.
y = -5x - 1
y=-3x - 2

Answers

Answer:

No,

Step-by-step explanation:

y = -5x - 1

y=-3x - 2

y=-5x-1

-26=-5(5)-1

True

now

y=-3x-2

-26=-3(5)-2

−26≠−17

False

It is not a solution to both of them

PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP

Write the linear equation for the following word problem:

Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.

Answers

Answer:

$44.50

Step-by-step explanation:

SOMEONE PLEASE HELP ASAP

Answers

Answer: 16.2 is the answer

Step-by-step explanation:

An airplane traveled 5000 miles in 10
hours. How many miles did it travel in
3 hours?
I

Answers

Step-by-step explanation:

Distance traveled in 10 hours = 5,000 miles

Distance travelled in 3 hours = 5,000 * (3/10)

= 1,500 miles.

Hence the airplane travelled 1,500 miles in 3 hours.

Step-by-step explanation:

Assuming it traveled at a constant speed, you can set up a proportion

[tex] \frac{5000}{10} = \frac{x}{3} [/tex]

X = (3*5000)/10

X = 1500 miles

Find the product
(4)(-11) =

Answers

Answer:

4 X -11

-44

plz mark as brainliest

Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

Pls help it due ASAP
pls show workings
Pls u really need help

Answers

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.

7^2 = 49
4^2 = 16
49 + 16 = c^2
65 = c^2
8.06 = c
8.06 miles

What is the y intercept of the following equation -5y-3x=10
It has to look something like this

Answers

Answer:

-2

Step-by-step explanation:

First, let's put this in slope-intercept form:

-5y-3x=10

5y = -3x - 10

y = (-3/5)x - 2

The y-intercept is -2.

Help plz i hate this but everytime I do this I get it worng

Answers

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

Can someone help i will give i the brainly answer thing

Answers

Step-by-step explanation:

x-25= 6x-5

-5x = 20

x=-4

(6x-5)+(x-25)=180

Would give you x=30, not sure if this would helps

PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.

Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope

Answers

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

please help me please will give brainliest to ​

Answers

Answer:

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. polynomials with real coefficients are included in this since every real number is a complex number with its imaginary part equal to zero.

Can I please get brainliest?

Answer:

It is non-constant variable polynomial with in depth coefficients and an in depth root.

Step-by-step explanation:

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