Solving with Variables on Both Sides Answers…

What could you do to isolate the variable term to one side of the equation?

Add 3x to both sides.

Subtract 3x from both sides.

Add 18 to both sides.

Subtract 18 from both sides.

Solve the riddle.Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8. StartFraction x Over 4 EndFraction + 6 = StartFraction x Over 8 EndFraction + 8

Answer:

x =

Answer:

1.8

What is the solution to the equation 13.7y = 6.2y + 30?

y = –4

y = –1.5

y = 1.5

y = 4

Add 7/12 to both sides.Subtract 7/12 from both sides.Divide both sides by 7/12.Multiply both sides by 7/12.

Add 7/12 to both sides.

Subtract 7/12 from both sides.

Divide both sides by 7/12.

Multiply both sides by 7/12.

What is the solution? x = -30/7x = -7/30x = 30/7x = 7/30

= -30/7

= -7/30

= 30/7

= 7/30

What is the solution?y =

Answer:

-8.5

One-fifth x minus StartFraction 7 Over 3 EndFraction = negative one-half StartFraction 7 Over 10 EndFraction x = StartFraction 7 Over 3 EndFraction Negative StartFraction 7 Over 3 EndFraction = Negative StartFraction 7 Over 10 EndFraction x x = negative five-halves x + StartFraction 35 Over 3 EndFraction

Option

When Zack checked his solution, it didn’t work. What was his mistake?

In step 1, he should have used the multiplication property of equality.

In step 2, he should have a constant of – 4 on the right side.

In step 3, he should have divided both sides by .

In step 4, the answer should be positive.

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