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Chapter 11: Q. 4 (page 793)

In Problems 1鈥�10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent.

y=2x-5x=3y+4

Short Answer

Expert verified

The solution of the system is 115,-35.

Step by step solution

01

Step 1. Given Information 

We are given a system of equations y=2x-5x=3y+4.

We need to solve the system of using the method of substitution or the method of elimination.

02

Step 2. Substitute the value of y in second equation

Using the first equation y=2x-5, substitute 2x-5for yin the second equation role="math" localid="1646968782205" x=3y+4.

x=3(2x-5)+4x=6x-15+4x=6x-11

Now solve the equation for x

x-6x=6x-11-6x-5x=-11x=115

03

Step 3. Solve for y

Substitute 115for xin the first equation and solve for y.

y=2x-5y=2路115-5y=22-255y=-35

So the solution is given by the ordered pair 115,-35.

04

Step 4. Check the solution  

Substitute 115for xand -35for yin both the equations.

y=2x-5-35=2路115-5-35=22-255-35=-35x=3y+4115=3-35+4115=-9+205115=115

So both the equations are satisfied. Thus the found solution is correct.

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Most popular questions from this chapter

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