Simultaneous equations 2x+3y=13 4x-y=-2

(0.5, 4)

Step-by-step explanation:

Given the 2 equations

2x + 3y = 13 → (1)

4x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the term in y

12x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

14x = 7 (divide both sides by 14)

x = 0.5

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

Substituting into (1)

2 (0.5) + 3y = 13

1 + 3y = 13 (subtract 1 from both sides)

3y = 12 (divide both sides by 3)

y = 4

Solution is (0.5, 4)