What is the correct first step to slove this system of equations 4x-3y=-10 2x+3y=4

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
${\displaystyle \Rightarrow 4x+2x=-6}$
${\displaystyle \Rightarrow 6x=-6}$
${\displaystyle \Rightarrow x=-1}$
Substituting value of x=−1 in first equation, we get,
4(−1)−3y=−10
${\displaystyle \Rightarrow -4-3y=-10}$
${\displaystyle \Rightarrow -3y=-10+4}$
${\displaystyle \Rightarrow -3y=-6}$
${\displaystyle \Rightarrow y=\frac{-6}{-3}=2}$
${\displaystyle \Rightarrow y=2}$
Hence, adding both equations is the correct step to solve the given system of equations.