Question

y= 6x – 11
-2x - 3y =-7

Answer 1

Answer:

x=2, y=1

Step-by-step explanation:

y= 6*x -11 or

y-6*x = -11

Let's call the above equation, equation number 1.

and

-2*x -3*y=-7

or

By multiplying -1 throughout the above equation we get

-1*(-2*x-3*y) = -1*-7

2*x + 3*y = 7

Let us multiply the equation throughout by 3, we get

3*(2*x+3*y)=3*7

6*x+ 9*y =21

Now adding the above equation with equation number 1 on LHS and RHS we get,

y -6*x + 6*x+9*y= -11+21

10*y= 10

y=1

By substituting this value in equation number 1 we get

1-6*x= -11

or

-6*x= -11-1

-6*x= -12

x= -12/-6

x=2

Hence the value of x=2 and that of y =1.