Question

-6x-5y=-63x+6y=24solve for x and y​

Answer 1

Answer:

$x= -4$ and $y=6$

Step-by-step explanation:

$-6x-5y=-6$     -equation 1

$3x+6y=24$       -equation 2

Solving the equation 1 to get the value of

To solve such type of equations that have two unknown variables, find the value of one variable in terms of the other from any one of the equation and put the value in the second equation which will give the value of both the variables

Solving Equation 2 to find x

$3x+6y=24$

$3x=24-6y$

$x=(24-6y)/3 =8-2y$              equation 3

Putting this value of x in the equation 1

$-6x-5y= -6$

$-6(8-2y)-5y= -6$

$-48+12y-5y= -6$

$7y= -6+48$

$7y= 42$

$y= 42/7 = 6$, $y=6$

Putting the value of y in equation 3 to find the value of x

$x=8-2y= 8-2(6)$

$x= -4$