Question

How do you solve `5x - 2y = 3` and `y = 2x`?

Answer 1

The solution for the system of equations is
`color(blue)(x=3,y=6`

Explanation:

`5x−2y=3`........equation `(1)`

`y=color(blue)(2x)`.................equation `(2)`

Solving by substitution

Substituting equation `(2)` in equation `(1)`
`5x−2y=3`

`5x−2 *color(blue)(2x)=3`
`5x−4x=3`
`color(blue)(x=3`

Now finding the value of `y` by substituting `x` in equation `1`
`5x−2y=3`

`5x−3=2y`

`y=(5x-3)/2`

`y=(15-3)/2`
`color(blue)(y=6`