Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4x + 4y = -36
4x + 4y = 12
No solution. The lines are parallel.
post it.
To solve this system using the substitution method, we'll solve one equation for one variable and then substitute that expression into the other equation. Let's start:
1) Solve the first equation for one variable:
4x + 4y = -36
We can isolate x by subtracting 4y from both sides:
4x = -36 - 4y
Dividing by 4 on both sides:
x = (-36 - 4y) / 4
x = -9 - y
2) Substitute the expression for x into the second equation:
4x + 4y = 12
Replace x with (-9 - y):
4(-9 - y) + 4y = 12
Now, simplify and solve for y:
-36 - 4y + 4y = 12
-36 = 12
This equation is inconsistent since -36 does not equal 12. Hence, the system has no solution.