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Determining the Solution
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:
x = 7 - 3y
207 – 3y) + 4y = 8
14-6y + 4y = 8
14 – 2y = 8
-2y = -6
y = 3
x + 3(3) = 7
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
Intro
Done
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Respuesta :

Answer:

(-2,  3).

Step-by-step explanation:

x + 3y = 7

2x + 4y = 8

1 .   x = 7 - 3y.

2.  2(7 - 3y) + 4y = 8

3.  14 - 6y + 4y = 8

   -2y = -6

    y = 3

4.  Substitute y in the second equation:

    2x + 4(3) = 8

    2x = -14

      x = -2..

akposevictor

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

Solution to a System of Equations

Given the system of equations:

x + 3y = 7 --> eqn. 1

2x + 4y = 8 --> eqn. 2

First, isolate x in equation 1:

x = 7 - 3y

Plug in the value of x into eqn. 2 to solve for y.

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

14 - 6y + 4y = 8

14 - 2y = 8

14 - 8 = 2y

6 = 2y

3 = y

y = 3

Find the value of x by substituting y = 3 into eqn. 1.

x + 3(3) = 7

x + 9 = 7

x = 7 - 9

x = -2

Therefore, the solution to the system of equations is: (-2, 3).

Learn more abut system of equations on:

https://brainly.com/question/13729904

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