To solve the system of equations using the elimination method, follow these steps:
Step 1: Multiply the first equation by 2 to make the coefficients of y in both equations equal.
2*(y = 3x+2) => 2y = 6x + 4
Now the first equation becomes: 2y = 6x + 4
Step 2: Rewrite the second equation.
4x - 2y = -8
Step 3: Add the two equations together.
(2y = 6x + 4) + (4x - 2y = -8)
Simplifying, we get:
6x + 4x = -8 + 4
10x = -4
Step 4: Divide both sides by 10 to solve for x.
x = -4/10
Simplifying, we get:
x = -2/5
Step 5: Substitute the value of x back into either of the original equations to solve for y.
Using the first equation:
y = 3x + 2
y = 3*(-2/5) + 2
y = -6/5 + 2
y = -6/5 + 10/5
y = 4/5
So the solution to the system of equations is x = -2/5 and y = 4/5.