Solve the simultaneous equations 2x + 4y = 1 3x - 5y = 7

(1.5, - 0.5)

Step-by-step explanation:

Given the 2 equations

2x + 4y = 1 → (1)

3x - 5y = 7 → (2)

Multiplying (1) by 3 and (2) by - 2 and adding will eliminate the x - term

6x + 12y = 3 → (3)

- 6x + 10y = - 14 → (4)

Add (3) and (4) term by term to eliminate x

22y = - 11 (divide both sides by 22)

y = - 0.5

Substitute y = - 0.5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4 ( - 0.5) = 1

2x - 2 = 1 (add 2 to both sides)

2x = 3 (divide both sides by 2)

x = 1.5

Solution is (1.5, - 0.5)