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Chapter 3: Q8. (page 142)

Solve each system of equations.

2x鈭�y+z=1x+2y鈭�4z=34x+3y鈭�7z=鈭�8

Short Answer

Expert verified

The solution is not possible.

Step by step solution

01

Step-1 –Using elimination to obtain two equations with two variables

Given system of equations are

2x鈭�y+z=1x+2y鈭�4z=34x+3y鈭�7z=鈭�8

Multiplying first equation by 4and adding to the second equation, we get

localid="1648720251666" 8x+x鈭�4y+2y=4+39x鈭�2y=7

Again multiplying first equation by7and adding to the third equation, we get

14x+4x鈭�7y+3y=7鈭�818x鈭�4y=鈭�1

02

Step-2 –Solving the system of two equations with two variables

System of two equations with two variables are

9x鈭�2y=718x鈭�4y=鈭�1

03

Step-3- Solve the second equation 

18x鈭�4y=鈭�12(9x鈭�4y)=鈭�12(7)=鈭�114=鈭�1

Which is not possible.

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Most popular questions from this chapter

Solve each system of equations by graphing.

5x鈭�11=4y7x鈭�1=8y

0.10d+0.25(d+7)=5.25

What is the first step you take when solving the

equation 3 鈭� 7(y 鈭� 4) = 38? Why is this your first

step?

3y-62+5=11y-45

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

y=x+3y=2x+6
See all solutions

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