solve the system of liner equastions given below using substitution or elimination

Question

3x+2y=12
-x+y=11

Answer 1

We can solve the system of linear equations using substitution.

We can start by solving the second equation for x:
-x + y = 11
x = y - 11

Now we can substitute the value of x in the first equation:
3x + 2y = 12
3(y - 11) + 2y = 12
3y - 33 + 2y = 12
5y - 33 = 12
5y = 45
y = 9

Now we can substitute the value of y back into the second equation to solve for x:
-x + 9 = 11
-x = 2
x = -2

Therefore, the solution to the system of linear equations is x = -2 and y = 9.