Question

solve the system of equations graphed on the coordinate axes below.
$y = -2x - 1$
$y = 3x + 4$

Explanation:

Step1: Set equations equal

Since $y = -2x - 1$ and $y = 3x + 4$, equate the right-hand sides:
$$-2x - 1 = 3x + 4$$

Step2: Solve for $x$

Isolate $x$ terms on one side:
$$-2x - 3x = 4 + 1$$
$$-5x = 5$$
$$x = \frac{5}{-5} = -1$$

Step3: Find $y$ value

Substitute $x=-1$ into $y=3x+4$:
$$y = 3(-1) + 4 = -3 + 4 = 1$$

Answer:

The solution is $x=-1$, $y=1$, or the ordered pair $(-1, 1)$