Solve the system by substitution.

2x + y = -11
3x - 4y = 11

(3, 5)
(–5, –3)
(–3, –5)
(5, 3)
How?

Thank you, that makes more sense.

To solve the system of equations using the method of substitution, you need to follow these steps:

Step 1: Solve one equation for one variable in terms of the other variable.
Step 2: Substitute the expression from step 1 into the other equation.
Step 3: Solve the resulting equation for the remaining variable.
Step 4: Substitute the value found in step 3 back into one of the original equations to find the value of the other variable.
Step 5: Check the solution by substituting the values found in step 4 into both original equations to ensure they are true.

Let's apply these steps to the given system of equations:

Step 1: Solve the first equation for y:
From the first equation, 2x + y = -11, we can isolate y:
y = -2x - 11

Step 2: Substitute the expression for y from step 1 into the second equation:
Replace y in the second equation, 3x - 4y = 11, with -2x - 11:
3x - 4(-2x - 11) = 11

Step 3: Simplify and solve the resulting equation:
Distribute the -4:
3x + 8x + 44 = 11
Combine like terms:
11x + 44 = 11
Subtract 44 from both sides:
11x = -33
Divide by 11:
x = -3

Step 4: Substitute the value of x into one of the original equations:
Using the first equation, substitute x = -3:
2(-3) + y = -11
-6 + y = -11
Add 6 to both sides:
y = -5

Step 5: Check the solution:
Substitute x = -3 and y = -5 into both original equations and check if they are true:
Equation 1: 2x + y = -11
2(-3) + (-5) = -11
-6 - 5 = -11
-11 = -11 (True)

Equation 2: 3x - 4y = 11
3(-3) - 4(-5) = 11
-9 + 20 = 11
11 = 11 (True)

Therefore, the solution to the given system of equations is (x, y) = (-3, -5).

y = 11 - 2x

3x - 4y = 11

Substitute 11-2x for y in the second equation and solve for x. Insert that value into the first equation to solve for y. Check by putting both values into the second equation.

I am sure PsyDAG meant to say

y = -11 - 2x

and to sub -11-2x or y in the second equation