 # What is the correct first step to slove this system of equations 4x-3y=-10 2x+3y=4 Haven 2021-03-07 Answered
What is the correct first step to slove this system of equations 4x-3y=-10
2x+3y=4
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Step 1: To determine
Given:
The system of equations 4x−3y=−10 & 2x+3y=4
To determine:
Which is the correct step to solve the given system of equations.
Step 2: Calculation
The correct step is to add the two equations so that the variable y gets eliminated easily.
On adding both equations, we get,
4x−3y+2x+3y=−10+4
$⇒4x+2x=-6$
$⇒6x=-6$
$⇒x=-1$
Substituting value of x=−1 in first equation, we get,
4(−1)−3y=−10
$⇒-4-3y=-10$
$⇒-3y=-10+4$
$⇒-3y=-6$
$⇒y=\frac{-6}{-3}=2$
$⇒y=2$
Hence, adding both equations is the correct step to solve the given system of equations.

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