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Solve the system of equations below.

5x + 2y = 9
2x - 3y = 15

Sagot :

themathexpertise

Answer:

(3, -3)

Step-by-step explanation:

To solve for a system of equations, use substitution.

First, solve for one variable in an equation.

2x - 3y = 15

Add 3y to both sides.

2x = 3y + 15

Divide both sides by 2 to get x by itself.

x = 1.5y + 7.5

Put this in the other equation.

5x + 2y = 9

Substitute the variable.

5(1.5y + 7.5) + 2y = 9

Distribute the 5 inside the 1.5y + 7.5.

7.5y + 37.5 + 2y = 9

Combine like terms.

9.5y + 37.5 = 9

Subtract 37.5 from both sides.

9.5y = -28.5

Divide both sides by 9.5.

y = -3.

Now take this value and put it in the other equation to get your x.

2x - 3y = 15

Substitute variable.

2x - 3(-3) = 15

Multiply.

2x + 9 = 15

Subtract 9 from both sides.

2x = 6

Divide both sides by 2.

x = 3.

Your pair is (3, -3).

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