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Chapter 5: Q. 397 (page 683)

In the following exercises, solve each system of equations. Use either substitution or elimination.

y=鈭�45x+18x+10y=10

Short Answer

Expert verified

The system has infinitely many solutions.

Step by step solution

01

Step 1. Given Information 

In the given exercises we have to solve given system of equations using either substitution or elimination method.

y=鈭�45x+18x+10y=10

02

Step 2. y=−45x+1………………Equation 18x+10y=10………………Equation 2

Using substitution method to solve the equation.

Putting the value of y from the Equation 1 in Equation 2.

8x+10鈭�45x+1=108x+10脳鈭�45x+1脳10=108x-2脳4x+10=108x-8x+10=1010=10

03

Step 3. Since 10=10 is a true statement, the system is consistent.

The equations are dependent. The graphs of these two equations would give the same line. The system has infinitely many solutions.

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