Question

Find the solution of the system of equations.
-8x+5y=43
-8x+4y=36

Answer 1

`x=-1\\y=7`

Explanation:

Given equations:

`-8x+5y=43` Equation:1

`-8x+4y=36` Equation:2

As the coefficients of 'x' are same which will eliminate the terms of 'x':

Subtracting Equation:2 From Equation:1

`-8x+5y-(-8x+4y)=43-36\\\\-8x+5y+8x-4y=7\\\\5y-4y=7\\\\y=7`

Putting value of 'y' in either equation:1 or 2

Putting y=7 in equation:2

`-8x+4y=36`

`-8x+4(7)=36\\\\-8x+28=36`

Subtracting '28' from both side:

`-8x+28-28=36-28\\\\-8x=8\\`

Changing the sides:

`8x=-8`

`x=(-8)/(8) \\\\x=-1`

The values are :

`x=-1\\y=7`