Question

what is the x - value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
○ -3
○ -1
○ 2
○ 4

Explanation:

Step1: Isolate y from first equation

From $2x - y = 11$, rearrange to get $y = 2x - 11$.

Step2: Substitute y into second equation

Substitute $y = 2x - 11$ into $x + 3y = -5$:
$x + 3(2x - 11) = -5$

Step3: Simplify and solve for x

Expand and combine like terms:
$x + 6x - 33 = -5$
$7x - 33 = -5$
$7x = 28$
$x = \frac{28}{7} = 4$

Answer:

4