Question

Solve the system by the method of elimination.

Answer 1

(10, -5)

Explanation:

Given system of equations is,

0.6x - 0.3y = 7.5

Divide this equation by 0.3

2x - y = 25 -------(1)

0.4x + 0.2y = 3

2x + y = 15 -------(2)

Now we subtract equation (2) from equation (1),

(2x - y) - (2x + y) = 25 - 15

-2y = 10

y = -5

From equation (1),

2x - (-5) = 25

2x + 5 = 25

2x = 20

x = 10

Therefore, (10, -5) will be the solution of the system of equations.