Question

use elimination to find the system of equations
4x+y=15 3x-3y=0

Answer 1

To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.

First, let's look at the variables themselves.

4x + y = 15
3x - 3y = 0

To eliminate the variable y, we need to multiply the second equation by 1:

3x - 3y = 0
4x + y = 15

Now, if we add the two equations together, we can eliminate the y variable:

(3x - 3y) + (4x + y) = 0 + 15
3x - 3y + 4x + y = 15

Simplifying this equation gives us:

7x - 2y = 15

So, the system of equations after elimination is:

7x - 2y = 15
3x - 3y = 0