Question

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

Answer 1

Answer:

The x-coordinate of the solution is -4.

Step-by-step 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.