x=-y+3

5x-y=-2

Solve using Elimination

I already solved the equation using Substitution, Graphing, and a table I just need a little more help on Elimination.

I know that in Elimination they have to be in the same form so I put it in slope intercept which would be y=-x+3 and y=5x+21

Nevermind I got it

Good job!

To solve the system of equations using the Elimination method, you need to eliminate one variable by adding or subtracting the equations. Here's how you can do it step-by-step:

1. Write the two equations in standard form if they are not already in that form.
Equation 1: x + y = 3
Equation 2: 5x - y = -2

2. Choose a variable to eliminate. In this case, let's eliminate the y variable.

3. Multiply one or both equations by a constant to make the coefficients of y in both equations the same or additive inverses of each other. In this case, we already have the coefficients of y as 1 and -1.

4. Add the two equations together to eliminate the y variable. The equation you get will have only one variable (x) and can be solved for x.
(x + y) + (5x - y) = 3 + (-2)
6x = 1

5. Solve the resulting equation for x.
Divide both sides of the equation by 6.
6x/6 = 1/6
x = 1/6

6. Substitute the value of x back into one of the original equations to solve for y.
Using Equation 1: x + y = 3
(1/6) + y = 3
y = 3 - 1/6
y = (18/6) - (1/6)
y = 17/6

Therefore, the solution to the system of equations is x = 1/6 and y = 17/6.