Question

1. consider the following linear equations:

equation 1: $y = 3x - 2$
equation 2: $y = 3 - 2x$
5f using your answer from part (e), find the point of intersection of the lines.
intersection point = $\left(\square, \square\
ight)$

Explanation:

Step1: Set equations equal

Since at intersection, $y$ values are equal:
$$3x - 2 = 3 - 2x$$

Step2: Solve for $x$

Combine like terms and isolate $x$:
$$3x + 2x = 3 + 2$$
$$5x = 5$$
$$x = \frac{5}{5} = 1$$

Step3: Find $y$ with $x=1$

Substitute $x=1$ into Equation 1:
$$y = 3(1) - 2 = 3 - 2 = 1$$

Answer:

$(1, 1)$