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Use the substitution method to solve the system of equations. Choose the

correct ordered pair.
2y + 5x = 13
2y-3x = 5

1 Answer

5 votes

Answer:

Explanation:

To solve the system of equations 2y + 5x = 13 and 2y-3x = 5 using the substitution method, you can follow these steps:

Begin by solving one of the equations for one of the variables. For example, you could solve the first equation for y:

2y + 5x = 13

2y = 13 - 5x

y = (13 - 5x) / 2

Substitute the expression for y into the second equation and solve for x:

2((13 - 5x) / 2) - 3x = 5

13 - 5x - 3x = 5

-8x = -8

x = 1

Substitute the value of x into the expression for y to find the value of y:

y = (13 - 5(1)) / 2

y = (13 - 5) / 2

y = 8 / 2

y = 4

The solution to the system of equations is (1,4).

Therefore, the correct ordered pair is (1,4).

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