Solve the system using substitution. Check your answer.

y = -6x + 18
2y - x + 3 = 0

3 answers

We can substitute the value of y from the first equation into the second equation:

y = -6x + 18

2(-6x + 18) - x + 3 = 0

Simplifying the second equation:

-12x + 36 - x + 3 = 0

-13x + 39 = 0

Subtract 39 from both sides:

-13x = -39

Divide both sides by -13:

x = 3

Now we can substitute the value of x into the first equation to find y:

y = -6(3) + 18

y = -18 + 18

y = 0

Therefore, the solution to the system of equations is x = 3 and y = 0. Let's check this solution:

y = -6x + 18 becomes 0 = -6(3) + 18 which is true.

2y - x + 3 = 0 becomes 2(0) - 3 + 3 = 0 which is also true.

So the solution is correct.
solution?
The solution to the system of equations is x = 3 and y = 0.