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Chapter 3: Q2. (page 133)

Explain why the equation 5z + 2 = 5z has no solution.

Short Answer

Expert verified

The equation 5z+2=5zhas no solution because if we cancel 5z from both sides then we get 2 = 0, which is not true.

Step by step solution

01

Step-1 – Given

The given equation is 5z+2=5z.

02

Step-2 – To determine

We have to find the reason why the equation 5z+2=5z has no solution.

03

Step-3 – Calculation

We try to solve the given equation for z, if possible

5z+2=5z[Theoriginalequation.]5z+2鈭�5z=5z鈭�5z[Subtract5zfromeachside.]2=0[Simplify.]

The statement 2=0is false, so the equation has no solution.

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Most popular questions from this chapter

Multiple Choice Which graph shows the solution of the inequality?

7-6x鈮�13

Write and solve an inequality for the following verbal sentence: Five plus 2 times a number is less than 20.

Write and solve an equation for the following verbal sentence: Nine more than 3 times a number is equal to 7 less than twice the number. (Lesson 3.3)

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.

Solve the inequality. Graph and check your solution.

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