Answer:
The x-coordinate of the solution is -4.
Step-by-step explanation:
The given system of equations have two equation.
[tex]3x-2y=-30[/tex] ........ (1)
[tex]6x+3y=3[/tex] ...... (2)
Use elimination method to solve the equation (1) and (2).
Multiply equation (1) by 3.
[tex]9x-6y=-90[/tex] ..... (3)
Multiply equation (2) by 2.
[tex]12x+6y=6[/tex] .....(4)
Add equation (3) and (4).
[tex]21x=-84[/tex]
Divide both sides by 21.
[tex]x=-4[/tex]
Put this value in equation 1.
[tex]3(-4)-2y=-30[/tex]
[tex]-12+30=2y[/tex]
[tex]18=2y[/tex]
[tex]y=9[/tex]
The solution of the system of equations is (-4,9). Therefore the x-coordinate of the solution is -4.
