Question

Find the solution of this system of equations
-4y = -64 - 6x
4x - 4y = -36

Answer 1

The solution of system is x=14, y=37

Step-by-step explanation:

Given equations are:

-4y = -64 - 6x  => 6x-4y=-64     Eqn 1

4x - 4y = -36     Eqn 2

Subtracting equation 2 from eqn 1

$(6x-4y)-(4x - 4y) = -36+64\\6x-4y-4x+4y=28\\2x=28\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{28}{2}\\x=14\\Putting\ x=14\ in\ equation\ 1\\-4y=-64-6(14)\\-4y=-64-84\\-4y=-148\\Dividing\ both\ sides\ by\ -4\\\frac{-4y}{-4}=\frac{-148}{-4}\\y=37$

The solution of system is x=14, y=37

Keywords: Linear equation, Elimination method

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