Question

x + 3y = 5
-x + 6y = 4

Solve the system of equations.

Answer 1

To solve this system of equations, we will use the elimination method. We can eliminate x by adding the two equations together:

x + 3y = 5
+(-x + 6y = 4)
-------------------
9y = 9

Now we can solve for y by dividing both sides by 9:

9y = 9
y = 1

Substituting this value of y back into one of the original equations, we can solve for x:

x + 3y = 5
x + 3(1) = 5
x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.