Question

problem 2
here is the graph of this system of equations:
$y=-3x+8$
$y=3x+2$
what is the solution to the system of equations?

Explanation:

Step1: Set equations equal

Since $y = -3x + 8$ and $y = 3x + 2$, set them equal to each other:
$$-3x + 8 = 3x + 2$$

Step2: Solve for x

Isolate x terms by adding $3x$ to both sides, then subtract 2 from both sides:
$$8 - 2 = 3x + 3x$$
$$6 = 6x$$
$$x = \frac{6}{6} = 1$$

Step3: Find y using x=1

Substitute $x=1$ into $y = 3x + 2$:
$$y = 3(1) + 2 = 3 + 2 = 5$$

Answer:

The solution is $(1, 5)$