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Chapter 5: Q. 5.39 (page 605)

Solve the system by substitution.

3x+2y=9y=鈭�32x+1

Short Answer

Expert verified

The system has no solutions.

Step by step solution

01

Step 1. Given Information  

We have to solve the system by substitution.

3x+2y=9y=鈭�32x+1

02

Step 2. Putting the value of y in the equation 3x+2y=9. 

3x+2鈭�32x+1=93x+鈭�32脳2x+1脳2=93x+鈭�3x+2=93x-3x+2=92鈮�9

03

Step 3. Since 2≠9 is a false statement the equations are inconsistent.

The graphs of the two equation would be parallel lines.

The system has no solutions.

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Most popular questions from this chapter

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

y=-14xx+4y=8

In the following exercises, translate to a system of equations and solve.

The difference of two supplementary angles is 88 degrees. Find the measures of the angles.

In the following exercises, translate to a system of equations and solve.

The difference of two complementary angles is 17 degrees. Find the measures of the angles.

In the following exercises, translate to a system of equations and solve.

The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find the measure of both angles.

Determine whether the ordered pair is the solution to the system

3x+y=0x+2y=-5

(a)(1,-3)

(b)(0,0)
See all solutions

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