Question

Solve by the elimination method.

4x – 3y = 4
- 8x + y = -8
Determine the solution of the system

Answer 1

x = 1 & y = 0

Explanation:

4x - 3y = 4 -----(1)

-8x + y = -8 ------(2)

(1)×2 8x - 6y = 8 ------(3)

(3)+(2) 8x+(-8x)-6y+y = 8+(-8)

-5y = 0

y = 0

suby=0into(3) 8x - 6(0) = 8

8x = 8

x = 1

Answer 2

(1, 0 )

Explanation:

Given the 2 equations

4x - 3y = 4 → (1)

- 8x + y = - 8 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in x

8x - 6y = 8 → (3)

Add (2) and (3) term by term

(- 8x + 8x) + (y - 6y) = (- 8 + 8), that is

- 5y = 0 ⇒ y = 0

Substitute y = 0 into either of the 2 equations and solve for x

Substituting in (1)

4x - 3(0) = 4, that is

4x = 4 ( divide both sides by 4 )

x = 1

Solution is (1, 0 )