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Question

# Write a system of equations in which both equations must be multiplied by a number other than 1 or -1 before using elimination. Solve the system.

Solution

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Step 1
1 of 2

System:

$3x+2y=5$

$4x+5y=9$

Multiply first equation by 4. Multiply second equation by -3.

$12x+8y=20$

$-12x-15y=-27$

$-7y=-7$

Divide both sides by -7.

$y=1$

Sub y back into first equation.

$3x+2(1)=5$

Subtract 2 from each side.

$3x=3$

Divide each side by 3.

$x=1$

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