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Chapter 3: Q13. (page 142)

Solve system of equations.

鈭�4a=85a+2c=07b+3c=22

Short Answer

Expert verified

The solution is a=-2,b=1,c=5

Step by step solution

01

Step-1 –Evaluating the value of \[a\]  from the second equation

Given system of equations are

鈭�4a=85a+2c=07b+3c=22

From the first equation we get

鈭�4a=8a=鈭�2

02

Step-2 –Evaluating the value of c from the second equation 

5a+2c=05(鈭�2)+2c=0鈭�10+2c=02c=10c=5

03

Step-3–Evaluating the value of b from the third equation

7b+3c=227b+3(5)=227b=22鈭�157b=7b=1

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Most popular questions from this chapter

Give an example of a system of equations that is consistent and independent.

Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.

Solve each system of equations by graphing

4x鈭�2y=226x+9y=鈭�3

Stamps Paula bought $22.82 worth of 49-cent

stamps and 21-cent stamps. The number of 21-cent

stamps was eight less than the number of

49-cent stamps. Solve the equation

0.49s + 0.21(s 鈭� 8) = 22.82 for s, to find the number

of 49-cent stamps Paula bought.

Solve each system of equations by graphing.

16.2x+3y=122x鈭�y=4
See all solutions

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