Question

(08.03)A set of equations is given below:

Answer 1

Answer: Third option

$-x + 2 = 3x - 4.$

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:

$y = -x + 2\\\\y = 3x - 4$

Note that if $y$ is equal $-x + 2$ and also $y$ equals $3x - 4$

Then logically $-x + 2$ must be equal to $3x - 4$.

We write equality.

$-x + 2 = 3x - 4.$

Then the correct answer is the third option.

We can also solve for the variable x

$-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}$

Answer 2

Answer:

-x + 2 = 3x - 4.

Step-by-step explanation: