Solve the simultaneous equations
3x - 4y = 8
9x + 5y = -1.5

x = , y = -

Step-by-step explanation:

3x - 4y = 8 → (1)

9x + 5y = - 1.5 → (2)

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

- 9x + 12y = - 24 → (3)

add (2) and (3) term by term to eliminate x

0 + 17y = - 25.5

17y = - 25.5 ( divide both sides by 17 )

y =   = -

substitute this value into either of the 2 equations and solve for x

Substituting into (2)

9x + 5(- ) = - 1.5

9x - = - ( add to both sides )

9x = = 6 ( divide both sides by 9 )

x = =