After simplification, the solution of this system of linear equation is (3.85, 12.75).
In the given question we have to find the solution to this system of linear equations 3x-2y=14 or 5x+y=32.
The given system of linear equations is:
3x-2y=14.......................(1)
5x+y=32.......................(2)
Multiply equation 2 by 2, we get
10x+2y=64.......................(3)
Add equation 3 by 1, we get
10x+2y+3x-2y=64-14
13x=50
Divide by 13 on both side, we get
x=3.85
Now put the value of x in equation 2
5(3.85)+y=32
19.25+y=32
Subtract 19.25 on both side, we get
y=12.75
So, the solution of this system of equation is (3.85, 12.75).
To learn more about system of linear equation link is here
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