Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

1. Isolate x in the first equation:

2. Substitute the value for x into the second equation:

3. Solve for y:







4. Substitute y into either original equation:

5. Write the solution as an ordered pair:





x = 7 – 3y

2(7 – 3y) + 4y = 8

14 – 6y + 4y = 8

14 – 2y = 8

–2y = –6

y = 3

x + 3(3) = 7

(, )

Answers

Answer 1

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer 2

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

Please give me brainiest


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List the next three terms in the following sequence:

1, 2, 4, 8, 16, 32,...
a.
48, 80, 128
b.
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Answer:

30cm²

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

59049 ways

Step-by-step explanation:

Given

[tex]Colors = 9[/tex]

[tex]Dogs = 5[/tex]

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

[tex]Dog\ 1 = 9[/tex]

[tex]Dog\ 2 = 9[/tex]

[tex]Dog\ 3 = 9[/tex]

[tex]Dog\ 4 = 9[/tex]

[tex]Dog\ 5 = 9[/tex]

So, the number of selection is:

[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]

[tex]Selection = 59049[/tex]

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Answers

Answer:

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Step-by-step explanation:

I = Prt

I = 4000 * 3 * 3%

I = 12000 * 3% (Convert 9000 and 3% into fractions.)

I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)

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Answers

Step-by-step explanation:

5-2(4a+1)+3a=13

5(4a+1)-2(4a+1)+3a=13

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20a-8a+3a+5-2=13

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a=16

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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The true statements:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

15 7/8 - 5 3/4




please answer giving brainliest not promising but ill give it to best explained answer!

Answers

First, set ur denominator to lcm which is 8

15 7/8-5 6/8

= 10 1/8
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