Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2y + 5x = 13 2y - 3x = 5

2y + 5x = 13

2y - 3x = 5

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Solve for x in the first equation. Subtract 2y from both sides.

5x = 13 - 2y

Divide both sides by 5.

x = 13/5 - 2/5y

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Plug x into the second equation.

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

Distribute 3 inside the parentheses.

2y - 7.8 + 1.2y = 5

Combine like terms.

3.2y - 7.8 = 5

Add 7.8 to both sides.

3.2y = 12.8

Divide both sides by 3.2.

y = 4

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Plug 4 for y into the first equation.

2 (4) + 5x = 13

8 + 5x = 13

Subtract 8 from both sides.

5x = 5

Divide both sides by 5.

x = 1

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x = 1, y = 4

Answer: x=1 y=4

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