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Chapter 5: Q. 105 (page 611)

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

y=78x+4-7x+8y=6

Short Answer

Expert verified

The system of equations has no solution

Step by step solution

01

Step 1. Given Information 

The given equations are

y=78x+4-7x+8y=6

02

Step 2. Calculation 

Substitute the equation first in the second equation to find the value of variable x.

-7x+8y=6-7x+8(78x+4)=6-7x+7x+32=60鈮�-24

Since 0鈮�-24is a false statement, the system of equations is inconsistent. The graph of these two equations would be the parallel line. Thus the system of the linear equation has no solution.

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Solve a System of Equations by Elimination -

2x-5y=73x-y=17

Solve the system of equationsx+y=10,x-y=6

(a) by graphing

(b) by substitution

(c) Which method do you prefer? Why?
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