Question

Here is a linear equation in two variables. Y=(9/5)x+32. Find a numeric value at which x and y are equal

Answer 1

1.put

X=y

2.x=9/5x+32

3.x-9/5x=32

4.-4x/5=32

5.x=-40

Answer 2

A numeric value at which x and y are equal is -40.

Step-by-step explanation:

We are given with a linear equation in two variables. Y = (9/5)x + 32.

And we have to find a numeric value at which x and y are equal .

For this, firstly we have to assume that x and y both are equal and we have to put only one variable in the equation assuming that x and y are equal (x = y), that means;

                     Y = (9/5)x + 32

                      x = (9/5)x + 32      {assuming x and y are equal}

                         $x - \frac{9}{5} x = 32$

                         $\frac{5x-9x}{5} = 32$  

                           $\frac{-4x}{5} = 32$

                            $x = \frac{32 \times 5}{-4}$  

                            $x = -8 \times 5$

                            x  =  -40

Hence, a numeric value at which x and y are equal is -40.