Solve the simultaneous equations y=x-2 and y=3x+5

( - 3.5, - 5.5)

Step-by-step explanation:

Given the 2 equations

y = x - 2 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = x - 2 (subtract x from both sides)

2x + 5 = - 2 (subtract 5 from both sides)

2x = - 7 (divide both sides by 2)

x = - 3.5

Substitute x = - 3.5 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3.5 - 2 = - 5.5

Solution is ( - 3.5, - 5.5)