To solve the system by substitution, we will solve one equation for one variable and substitute this expression into the other equation.
From the first equation, we have:
2x + y = -11
Solving for y, we get:
y = -11 - 2x
Now, we substitute this expression for y into the second equation:
3x - 4(-11 - 2x) = 11
Simplifying, we have:
3x + 44 + 8x = 11
Combining like terms:
11x + 44 = 11
Subtracting 44 from both sides:
11x = -33
Dividing by 11:
x = -3
Now, substitute this value of x back into the expression for y:
y = -11 - 2(-3)
y = -11 + 6
y = -5
Therefore, the solution to the system of equations is x = -3 and y = -5.
Solve the system by substitution. {2×+y=-11; 3×-4y=11
1 answer
1 answer