Question

What is the solution to this system of linear equations 3x 2y 14 5x y 32

Answer 1

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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