Question

Find the value of a and yz if y is between x and z. x y = 3 a − 4 , y z = 6 a 2 , x z = 5 a 22

Answer 1

The value of a and YZ = 38 units.

What is a linear equation in math?

• A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
• When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

If Y is between X and Z

then

      XZ = XY + YZ

substitute the given values and solve for a

           5a + 22  = (3a - 4 ) + ( 6a + 2 )

            5a + 22  = 9a  - 2

            9a - 5a = 22 + 2

               4a = 24

                  a = 6

Find the length of YZ

          YZ = 6a + 2

substitute the value of a

          YZ = 6 (6) + 2 = 38 units

Learn more about linear equation

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