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Chapter 5: Q. 394 (page 683)

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

3x鈭�2y=3y=2x鈭�1

Short Answer

Expert verified

The solution set is (-1,-3).

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.

3x鈭�2y=3y=2x鈭�1

02

Step 2. 3x−2y=3………………Equation 1y=2x−1………………Equation 2

Using substitution method to solve the equation.

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

3x鈭�22x鈭�1=3

03

Step 3. Solving the equation.

3x鈭�22x鈭�1=33x鈭�2脳2x鈭�2脳1=33x鈭�4x鈭�2=33x-4x+2=3-x+2=3Subtract2onbothside-x+2-2=3-2-x=1Multiplyby-1onbothsidex=-1

04

Step 4. Putting the value of x in the Equation 2.

y=2x鈭�1y=2-1鈭�1y=-2-1y=-3

Now the solution set is(-1,-3).

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