Question

Show all the steps that you use to solve this problems.

Given AQRS ATUV QS = 3v + 2 and TV = 7v - 6 find the length of QS and TV

Answer 1

Step 1: Write down the given information.

QS = 3v + 2
TV = 7v - 6

Step 2: Set up an equation for the length of QS using the given information.

QS = 3v + 2

Step 3: Set up an equation for the length of TV using the given information.

TV = 7v - 6

Step 4: Solve the equation for QS.

To do this, we can substitute the given value of QS into the equation:

3v + 2 = QS

Step 5: Solve the equation for TV.

To do this, we can substitute the given value of TV into the equation:

7v - 6 = TV

Step 6: Substitute the given value of QS into the equation for TV.

To find the length of TV, we substitute the value of QS into the equation for TV:

7v - 6 = 3v + 2

Step 7: Simplify and solve the equation.

Combine like terms on both sides of the equation:

4v = 8

Dividing both sides of the equation by 4, we find:

v = 2

Step 8: Substitute the value of v into the equations for QS and TV.

Substituting v = 2 into the equation for QS:

QS = 3v + 2 = 3(2) + 2 = 6 + 2 = 8

Substituting v = 2 into the equation for TV:

TV = 7v - 6 = 7(2) - 6 = 14 - 6 = 8

Step 9: The length of QS is 8 and the length of TV is 8.