Question

Use the elimination method to solve the following system of equations:

2x+y=3
3x – y= 12
The solution is

Answer 1

(x,)y) =(3,-3)

Explanation:

add the equations vertically to eliminate one variable

2x +y = 3

3x -y = 12

5x =15 divide both sides by 5

x = 3 now substitute the given value of x into the equation 2x+y=3

2 x 3 + y = 3 multiply 2x3

6 +y =3 move constant to the right

y = 3-6

y = -3

Answer 2

x = 3

y = -3

(3, -3)

Explanation:

Choose one of the equations and isolate y. I will use the first one.

2x + y = 3

Y = 3 - 2x

Now sub the solution for y into the equation below.

3x - y = 3

3x - (3 - 2x) = 12

3x - 3 + 2x = 12

5x - 3 = 12

5x = 15

x = 3

To get y, sub the answer for x into one of the equations.

2(3) + y = 3

6 + y = 3

y = 3 - 6

y = -3