Answer: Third option
[tex]-x + 2 = 3x - 4.[/tex]
Step-by-step explanation:
One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.
In this case we have the system:
[tex]y = -x + 2\\\\y = 3x - 4[/tex]
Note that if [tex]y[/tex] is equal [tex]-x + 2[/tex] and also [tex]y[/tex] equals [tex]3x - 4[/tex]
Then logically [tex]-x + 2[/tex] must be equal to [tex]3x - 4[/tex].
We write equality.
[tex]-x + 2 = 3x - 4.[/tex]
Then the correct answer is the third option.
We can also solve for the variable x
[tex]-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}[/tex]
