Question

question 1-4
selected response: 1 point for answer
if $x = 2y + 5$ and $2x + y = -10$, find the value of $x$.
\bigcirc\\ -5
\bigcirc\\ -4
\bigcirc\\ -3
\bigcirc\\ -2

Explanation:

Step1: Substitute $x$ into second equation

Substitute $x=2y+5$ into $2x+y=-10$:
$$2(2y+5)+y=-10$$

Step2: Expand and simplify the equation

$$4y+10+y=-10$$
$$5y+10=-10$$

Step3: Solve for $y$

$$5y=-10-10$$
$$5y=-20$$
$$y=\frac{-20}{5}=-4$$

Step4: Substitute $y$ to find $x$

Substitute $y=-4$ into $x=2y+5$:
$$x=2(-4)+5=-8+5$$

Answer:

-3