Question

Solve the system by substitution. {2×+y=-11; 3×-4y=11

Answer 1

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.