Question

How do you solve the following system: # 5x+8y= -29, 8x-7y=-39 #?

Answer 1

`x= -515/99 ; y=-37/99`

Explanation:

`5x+8y = -29` (1)
`8x-7y = -39` (2)
Multplying equation (1) by 8 and Equation (2) by 5 we get;
`40x+64y = -232` (1)
`40x-35y = -195` (2); Now subtracting (2)from (1) we get `99y= -37 or y=-37/99;` Putting y=37/99 in equation(1) we get `x=-515/99`[Ans]