Question

How do you solve the system y = 5x and 2x + 3y = 34?

Answer 1

The solution for the system of equations is:
`color(green)(x=2`
`color(green)(y = 10`

Explanation:

`color(blue)(y = 5x`...................equation `(1)`

`2x + 3y = 34`......equation `(2)`

Solving by substitution:

Substituting equation `1` in equation `2:`

`2x + 3y = 34`

`2x + 3 xx color(blue)(5x) = 34`

`2x + 15x = 34`

`17x = 34`

`x = 34/17`

`color(green)(x=2`

Finding `y` from equation `1` using the value of `x:`

`y = 5x`

`y = 5 xx 2`

`color(green)(y = 10`