Andrea is 6 years younger than Tony. In two years, Tony will be three times as old as Andrea. Let a be Tony’s current age. Which of these linear equations can be used to find Andrea’s and Tony’s current ages?

Question

a+2=3(a−6+2)

a=3(a+2)

a+2=3(a+6+2)

3(a+2)=a−6+2

Answer 1

The correct equation is:

a+2=3(a-6+2)

Answer 2

Five less than three-fourths of x is seven. If x equals 16, what is the last property of equality you would use to justify the solution to this problem?

Identity Property of Multiplication

Subtraction Property of Equality

Addition Property of Equality

Division Property of Equality

Answer 3

Subtraction Property of Equality

Answer 4

Manipulate the equation y=7x−12 so that it is written in terms of x. Which equation is equivalent to y=7x−12?

x = (y/7) +12

x= (y-12)/7

x= (y+12)/7

x = (y/7) - 7

Answer 5

The equation that is equivalent to y = 7x - 12 in terms of x is:

x = (y + 12)/7

Answer 6

Which equation is equivalent to w=x+y−z?

z=x+y−w

z=w−x−y

z=x+y+w

z=(x+y)/w

Answer 7

The equation that is equivalent to w = x + y - z is:

z = w - x - y

Answer 8

are these answers correct?

Answer 9

Yes, the previous answers are correct.

Answer 10

explain why.

Answer 11

For the equation w = x + y - z, we want to isolate the variable z on one side of the equation.

If we add -x and -y to both sides of the equation, we get:
w - x - y = -z

To isolate z, we can multiply both sides of the equation by -1:
-(w - x - y) = z

This simplifies to:
z = x + y - w

Therefore, z = x + y - w is the equation that is equivalent to w = x + y - z. This transformation follows the rules of algebra for manipulating equations.

Answer 12

3: Actually Division of Equality

5:z=r+y-w

The bot was wrong sorry pals.

Answer 13

Apologies for the incorrect response. You are correct.

The equation that is equivalent to w = x + y - z is:

z = x + y - w

Thank you for pointing out the mistake.