Download presentation

Presentation is loading. Please wait.

Published byWinfred McDowell Modified over 5 years ago

1
7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1 3x – 2y = 5 Equation 2 The lines appear to intersect at the point (3, 2). CHECK Substitute 3 for x and 2 for y in each equation. x + 2y = 7 3 + 2(2) = ? 7

2
ANSWER Because the ordered pair (3, 2) is a solution of each equation, it is a solution of the system. EXAMPLE 1 Check the intersection point 3x – 2y = 5 5 = 5 3(3) – 2(2 ) 5 = ?

3
EXAMPLE 2 Use the graph-and-check method Solve the linear system : –x + y = –7 Equation 1 x + 4y = –8 Equation 2 SOLUTION STEP 1 Graph both equations.

4
EXAMPLE 2 STEP 2 Use the graph-and-check method Estimate the point of intersection. The two lines appear to intersect at (4, – 3). STEP 3 Check whether (4, –3) is a solution by substituting 4 for x and –3 for y in each of the original equations. Equation 1 –x + y = –7–x + y = –7 –7 = –7 –(4) + (–3) –7 = ? Equation 2 x + 4y = –8x + 4y = –8 –8 = –8 4 + 4(–3) –8 = ?

5
ANSWER Because (4, –3) is a solution of each equation, it is a solution of the linear system. EXAMPLE 2 Use the graph-and-check method

6
EXAMPLE 2 Use the graph-and-check method Solve the linear system by graphing. Check your solution. GUIDED PRACTICE for Examples 1 and 2 –5x + y = 0 1. 5x + y = 10 ANSWER (1, 5)

7
EXAMPLE 2 Use the graph-and-check method Solve the linear system by graphing. Check your solution. GUIDED PRACTICE for Examples 1 and 2 2x + y = 4 –x + 2y = 3 2. ANSWER (1, 2)

8
EXAMPLE 2 Use the graph-and-check method Solve the linear system by graphing. Check your solution. GUIDED PRACTICE for Examples 1 and 2 3x + y = 3 x – y = 5 3. ANSWER (2, 3)

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google