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Chapter 2: Q71. (page 62)

Solve each equation. Check your solution.

-4+2y=0

Short Answer

Expert verified

The solution of given equation is y=2.

Step by step solution

01

–Properties of equality.

According to the addition property of equality, if a=b, then a+c=b+c, where a,b,c are real values.

According to the division property of equality, if a=b, then ac=bc, where a,b,c are real values and c鈮�0.

02

– Given information.

The given equation is:

-4+2y=0

03

– Solve the given equation.

The given equation is:

-4+2y=0

Add 4on both sides of the above equation.

鈭�4+2y+4=0+42y=4

Divide both sides by 2.

2y2=42y=2

Thus, the solution of given equation is y=2.

04

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for y=2then it is the correct solution.

Substitute y=2in the given equation.

鈭�4+22=0鈭�4+4=00=0

Left hand side is equal to the right hand side. Thus the solution y=2 is correct.

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Most popular questions from this chapter

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

The average (arithmetic mean) of three integers x, y, and z is 30.

Column A

Column B

the average (arithmetic mean) of three integers x, y, z and 29

30

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

x+y=4

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

y=x

Write each equation in standard form. Identify A, B and C.

5y=10x-25

Write each equation in standard form. Identify A, B and C.

y=12x
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