Question

Solve the system of equations. – 9y + 4x – 11 = 0 - 3y + 10x + 31 = 0

Answer 1

value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Step-by-step explanation:

We need to solve the system of equations

$-9y + 4x-11 = 0- 3y + 10x + 31 = 0$

Rearranging:

$-9y + 4x = 11\,\,\,eq(1)\\- 3y + 10x=- 31 = 0\,\,\,eq(2)$

Multiply eq(2) with 3 and subtract eq(2) from eq(1)

$-9y + 4x = 11\\-9y+30x=-93\\+\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\-26x=104\\x=\frac{104}{-26}\\x=-4$

Putting value of x = -4 into eq(1)

$-9y + 4x = 11\\-9y+4(-4)=11\\-9y-16=11\\-9y=11+16\\-9y=27\\y=\frac{27}{-9}\\y=-3$

So, value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Keywords: system of equations.

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