Question

What is the solution to the linear system x=-6y+15 and -2y+5x =11

Answer 1

After solving the linear system, value of x=3 and value of y=2

Step-by-step explanation:

We need to find the solution to the linear system $x=-6y+15\,\,and\,\, -2y+5x =11$

$x=-6y+15\,\,\,\,(1)\\-2y+5x =11\,\,\,\,(1)$

Putting value of equation (1) x=-6y+15 in equation(2)

$-2y+5x =11\\-2y+5(-6y+15)=11\\-2y-30y+75=11\\-32y=11-75\\-32y=-64\\y=\frac{-64}{-32}\\y=2$

value of y=2

Now putting the value of y in equation (1)

$x=-6y+15\\x=-6(2)+15\\x=-12+15\\x=3$

value of x = 3

After solving the linear system, value of x=3 and value of y=2

Keywords: Linear system

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