Question

How do you solve the simultaneous equations `5x+7y=32` and `10x-y=49`?

Answer 1

`x=5,y=1`

Explanation:

Step 1: Make `x` the subject of one of the equations:
`10x-y=49` => `y=10x-49`

Step 2: Substitute this into the other equation and solve for `x`:
`5x+7y=5x+70x-343=32` => `x=5`

Step 3: Use this value in one of the equations and solve for `y`:
`10x-y=50-y=49` => `y=1`