Question

What is the x-coordinate of the solution to the system of equations 3x-2y=-30 6x+3y=3

Answer 1

The x-coordinate of the solution is -4.

Explanation:

The given system of equations have two equation.

`3x-2y=-30` ........ (1)

`6x+3y=3` ...... (2)

Use elimination method to solve the equation (1) and (2).

Multiply equation (1) by 3.

`9x-6y=-90` ..... (3)

Multiply equation (2) by 2.

`12x+6y=6` .....(4)

Add equation (3) and (4).

`21x=-84`

Divide both sides by 21.

`x=-4`

Put this value in equation 1.

`3(-4)-2y=-30`

`-12+30=2y`

`18=2y`

`y=9`

The solution of the system of equations is (-4,9). Therefore the x-coordinate of the solution is -4.