Question

How do you solve the following system of equations by linear combination: 3x+2y=-7, 5x-4y=19?

Answer 1

Solution: `x= 4/11 , y = -46/11`

Explanation:

`3x+2y =-7 (1) , 5x-4y=19 (2)` . Multiplying equation (1) by `2`

we get `6x+4y =-14 (3)` Adding equation (2) and equation (3)

we get `11x=5 or x = 5/11` . Putting `x=5/11` in equation (1) we

get `3* 5/11 +2y =-7 or 2y = -7 -15/11 or 2y = -92/11`

or `y = -92/22 or y = -46 /11 or`

Solution: `x= 4/11 , y = -46/11` [Ans]