Question

Solve for the solution of the following system

of equations utilizing substitution.
2x + y = 6 AND 3y - 18 = -6x
-
=
A
All Real Numbers
B
No Solution

Answer 1

A

Explanation:

To solve using the substitution method let's try to isolate the y variable in the first given equation: 2x + y = 6

Subtract 2x from both sides

2x + y = 6

- 2x - 2x

y = 6 - 2x

Now plug the new y into the second equation: 3y - 18 = -6x

3(6 - 2x) - 18 = -6x

18 - 6x - 18 = -6x

-6x = -6x

Since we get that both sides of the equation are exactly the same, that means the solution can be all real numbers.