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Chapter 4: Q 289 (page 472)

In the following exercises, solve each system by graphing.

y鈮�-23x+2y>2x-3

Short Answer

Expert verified

The darkest region represent the solution to the system of equations and the graph is

Step by step solution

01

Given information 

Given system of equationsy鈮�-23x+2y>2x-3

02

Checking the point for system of equation 

The equation y=-23x+2has intercept 2,3. Testing the point (0,0), we get

0鈮�0+20鈮�2which is not true

So origin is not included

03

Checking the point for system of equations

The equation y=2x-3has intercept -3,32. Testing the point (0,0), we get

0>0-30>-3which is not true

So origin is not included

04

Graphing the system of equations

The graph of the system of equations is

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Most popular questions from this chapter

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

Solve the system of equations by substitution

2x+y=5x-2y=-15
  1. Solve the system of equations x+y=10x-y=6(a) by graphing (b) by substitution (c) Which method do you prefer? Why?

Translate to a system of equations and solve.

Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate. How many quarts of water and how many quarts of concentrate does Owen need to make 100 quarts of lemonade?

In the following exercise, solve the systems of equations by elimination.

13x-y=-3x+52y=2
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