Question

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

Answer 1

Answer:

{x,y}={  5/9,0}

Step-by-step 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

Answer:

Please check the explanation.

Step-by-step 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

$\frac{2y}{2}=\:\frac{-9x+5}{2}$

$y=\frac{-9}{2}x+\frac{5}{2}$

Thus, the value of y is:

$y=\frac{-9}{2}x+\frac{5}{2}$

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

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

$9x=5$

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

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

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

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