CPM Homework Help : AC Problem 4-93

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Home > AC > Chapter 4 > Lesson 4.2.3 > Problem 4-93

4-93.

Determine the coordinates of each point of intersection without graphing.

$\begin{aligned}[t] y = 2x - 3 \\ y = 4x + 1 \end{aligned}$
Hint (a):
Use the Equal Values Method.
Step 1(a):
Set both equations equal to each other.
$2x − 3 = 4x + 1$
Step 2(b):
Get all the $x$ terms on one side of the equation.
$−2x = 4$
Step 3(c):
Divide both sides by $−2$ to solve for $x$ .
Step 4(d):
$x = −2$
Substitute this value into one of the original equations to solve for $y$ .
Answer (d):
$\left(−2, −7\right)$

$\begin{aligned}[t] y = 2x - 5 \;\;\; \\ y = -4x - 2 \end{aligned}$
Hint (b):
Follow the steps in part (a).
Answer (b):
$\left(\frac{1}{2}, -4\right)$

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