Answer:
x=−2 and y = 9y=9.
Explanation:
First, let's solve the second equation for x:
-x + y = 11−x+y=11
Adding xx to both sides:
y = x + 11y=x+11 (Equation 1)
Now we'll substitute this expression for y into the first equation:
3x + 2y = 123x+2y=12
3x + 2(x + 11) = 123x+2(x+11)=12 (Substitute y = x + 11y=x+11)
3x + 2x + 22 = 123x+2x+22=12
5x + 22 = 125x+22=12
Subtracting 22 from both sides:
5x = -105x=−10
Dividing both sides by 5:
x = -2x=−2
Now that we have the value of x, we can substitute it back into Equation 1:
y = x + 11y=x+11
y = -2 + 11y=−2+11
y = 9y=9
So, the solution to the system of equations is x = -2x=−2 and y = 9y=9.