Answer:
[tex]\boxed{x=R}[/tex], where R stands for all real numbers.
Step-by-step explanation:
Part 1: Solving one equation for its variable
First, we need to solve one of the equations for one of its variables. I will use the second equation.
[tex]2x+y=18[/tex] Subtract [tex]2x[/tex] from both sides to isolate the [tex]y[/tex].
[tex]\boxed{y = -2x + 18}[/tex]
Part 2: Substituting the solved variable value into the other equation
Now, simply substitute this value in the place of the [tex]y[/tex] in the first equation and solve for [tex]x[/tex].
[tex]6x+3(-2x+18) =54[/tex] Distribute the coefficient of the equation.
[tex]6x -6x + 54 = 54[/tex] Simplify the equation.
[tex]0 = 0[/tex]
This answer is perfectly okay to get. This means that your equations have an infinite number of solutions.
