Question

Solve the equation for the given variable. Justify each step.
9x + 2y = 5; y

Answer 1

{x,y}={ 5/9,0}

Explanation:

9x - 2y = 5

y = 0

9x - 2•() = 5

9x = 5

x = 5/9

By now we know this much :

x = 5/9

y = 0

⇒{x,y} = {5/9,0}

Answer 2

Please check the explanation.

Explanation:

Given the equation

`9x + 2y = 5`

solving the equation for y

`9x + 2y = 5`

Step 1: Add -9x to both sides

`9x+2y+-9x=5+-9x`

`2y=-9x+5`

Step 2: Divide both sides by 2

`(2y)/(2)=\:(-9x+5)/(2)`

`y=(-9)/(2)x+(5)/(2)`

Thus, the value of y is:

`y=(-9)/(2)x+(5)/(2)`

If we put y = 0 in the
`9x + 2y = 5`

`9x+\left(0\right)=5`

`9x=5`

`\mathrm{Divide\:both\:sides\:by\:}9`

`(9x)/(9)=(5)/(9)`

`x=(5)/(9)`

Thus, the value of x=5/9 at y=0