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.
Solve the system using substitution. Check your answer.
y = -6x + 18
2y - x + 3 = 0
3 answers
solution?
The solution to the system of equations is x = 3 and y = 0.