Question

I need help but not all are boxes are used

Answer 1

Given:

`y=3x-5\text{ and y=-6x+4}`

Aim:

We need to find the solution to the given system of equations.

Step-by-step explanation:

Consider the equation y =3x-5.

Substitute y =-6x+4 in the equation y =3x-5.

`-6x+4=3x-5`

Solve for x.

Add 6x to both sides of the equation.

`-6x+4+6x=3x-5+6x`

`4=3x-5+6x`

`4=9x-5`

Add 5 to both sides of the equation.

`4+5=9x-5+5`

`9=9x`

Divide both sides by 9.

`(9)/(9)=(9x)/(9)`
`x=1`

Substitute x =1 in the equation y =3x-5.

`y=3(1)-5`
`y=-2`

The solution of the given system of equations is x=1 and y =-2.

Final answer:

`(1,-2)`