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Chapter 2: Q 2.1 (page 99)

Determine whether the values are solutions to the equation: 9y+2=6y+3.

(a) y=43(b) y=13.

Short Answer

Expert verified

Part (a) y=43is not a solution to the equation.

Part (b) y=13is a solution to the equation.

Step by step solution

01

Part (a) Step 1. Given information.

Determine whether the values are solutions to the equation: 9y+2=6y+3.

(a)y=43(b)y=13

02

Part (a) Step 2. Substitute the value y=43in the equation.

9y+2=6y+3943+2=643+33路4+2=2路4+314鈮�11

Thus y=43does not result in a true equation.

Hence, y=43is not a solution of the equation.

03

Part (b) Step 3. Substitute the value y=13in the equation.

9y+2=6y+3913+2=613+33路1+2=2路1+35=5

Thus y=13result in a true equation.

Hence, y=13is a solution of the equation.

04

Step 4. Conclusion.

Hence, (a) y=43is not a solution of the equation and (b) y=13 is a solution of the equation.

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