Question

Find the values of x and y.(10x 4)16y18)(18y66x + 2)у

Answer 1

The values of x and y are;

`\begin{gathered} x=4 \\ y=9 \end{gathered}`

Step-by-step explanation:

Given the figure in the attached image.

`\begin{gathered} (16y)^0=(18y-18)^0\text{ --------(vertically opposite angles)} \\ (10x-4)^0=6(x+2)^0\text{ --------(vertically opposite angles)} \end{gathered}`

Solving the first equation we have;

`\begin{gathered} 16y=18y-18 \\ 16y-18y=-18 \\ -2y=-18 \\ \text{divide both sides by -2;} \\ (-2y)/(-2)=(-18)/(-2) \\ y=9 \end{gathered}`

solving the second equation;

`\begin{gathered} 10x-4=6(x+2) \\ 10x-4=6x+12 \\ 10x-6x=12+4 \\ 4x=16 \\ x=(16)/(4) \\ x=4 \end{gathered}`

Therefore, the values of x and y are;

`\begin{gathered} x=4 \\ y=9 \end{gathered}`