Question

Solve the system of equation using ELIMINATION (solve for x)
x + 3y = 14
-x + y = 10

Answer 1

x = -1.5 , y = 5.17

Explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1 * 1

-x + y = 10 ------- equation 2 * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x =
`(-6)/(4)`

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

`(3y)/(3) = (15.5)/(3)`

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17