CPM Homework Help : AC Problem 4-97

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Home > AC > Chapter 4 > Lesson 4.2.4 > Problem 4-97

4-97.

Determine the coordinates of each point of intersection without graphing.

$y = −x + 8$
$y = x − 2$

$y = −3x$
$y = −4x + 2$

Hint (a):

Use the Equal Values Method.

Step 1(a):

Step 2(a):

Step 3(a):

Step 4(a):

Hint (a):

Substitute your answer for $x$ back into one of the original equations to find $y$ .

Steps (a):

Answer (a):

$\left(5, 3\right)$

$y = y$
$−x + 8 = x − 2$

$−x + 8 = x − 2$
$+2 +2$

$−x + 10 = x$
$+x +x$

$10 = 2x$

$5 = x$

$y = −x + 8$
$y = −\left(5\right) + 8$
$y = 3$

Hint (b):

Follow the steps outlined in part (a).

Answer (b):

$\left(2, −6\right)$

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