CPM Homework Help : AC Problem 4-97

4-97.

Determine the coordinates of each point of intersection without graphing. Homework Help ✎
1. y = −x + 8
  y = x − 2
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):

(5, 3)

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 = −(5) + 8
y = 3

Hint (b):

Follow the steps outlined in part (a).

Answer (b):

(2, −6)