Question

How to solve this using the substitution method?

Answer 1

`10x-2y=16.........(1)\\\text{or, }2y=10x-16\\\\\text{or, }y=5x-8...........(2)\\\\\text{We have another equation,}\\\\5x+3y=-12......(3)\\\\\text{Substituting equation(2) in equation (3),}\\5x+3(5x-8)=-12\\\text{or, }5x+15x-24=-12\\\text{or, }20x=12\\\text{or, }x=(12)/(20)`

`\therefore\ x=(3)/(5)`

`\text{Putting value of }x\text{ in equation (2),}\\y=5((3)/(5))-8=3-8=-5`

`\therefore\ x=(5)/(3)\text{ and }y=-5`