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Chapter 4: Q 33 (page 386)

Solve the systems of equations by substitution.

x-3y=-92x+5y=4

Short Answer

Expert verified

The solution of system of linear equation is (-3,2)

Step by step solution

01

Step 1. Given information

The system of equations isx-3y=-92x+5y=4

02

Step 2. Substitute the value of x from one equation into other equation 

x-3y=-9x=3y-9

Now,

2x+5y=42(3y-9)+5y=46y-18+5y=411y=22y=2

03

Step 3. Substitute the value of y in any equation 

x-3y=-9x-3(2)=-9x-6=-9x=-3

04

Step 4. Required answer

The solution of system of linear equation is(-3,2)

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Most popular questions from this chapter

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=-2x-44x+2y=9(b)3x+2y=22x+y=1

Without graphing, determine the number of solutions and then classify the system of equations.

5x+3y=42x-3y=5

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

2x+9y=-43x+13y=-7

Drew burned 1800 calories Friday playing one hour of basketball and canoeing for two hours. Saturday he spent two hours playing basketball and three hours canoeing and burned
3200 calories. How many calories did he burn per hour when playing basketball? How many calories did he burn per hour when canoeing?
  1. Solve the system of equations x+y=10x-y=6(a) by graphing (b) by substitution (c) Which method do you prefer? Why?
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