Question

x+y=12
y=11x
solve the system of equations by substitution

Answer 1

We are given the following system of equations:
1) x + y = 12
2) y = 11x

We can substitute the value of y in equation 1 with the value of y from equation 2.

Substituting y in equation 1:
x + 11x = 12

Combining like terms:
12x = 12

Dividing both sides by 12:
x = 1

Now, we can substitute this value of x back into equation 2 to solve for y:
y = 11(1)
y = 11

Therefore, the solution to the system of equations is x = 1 and y = 11.