To solve the system of equations:
y = -4x + 11 (Equation 1)
3x + y = 9 (Equation 2)
We can use substitution or elimination method. Here's how to solve it using substitution:
Solve for y in Equation 1:
y = -4x + 11
Substitute y in Equation 2 with -4x + 11:
3x + (-4x + 11) = 9
Simplify and solve for x:
-x + 11 = 9
-x = -2
x = 2
Substitute x = 2 into either equation to solve for y:
y = -4(2) + 11
y = 3
Therefore, the solution of the system of equations is x = 2 and y = 3.