390,116 views
35 votes
35 votes
Which ordered pair is a solution of the
equation?
-3x + 5y = 2x + 3y

User JezC
by
2.8k points

2 Answers

14 votes
14 votes

Answer:

Solve the equation for
{y}.


y=(5x)/(2)

Choose any value for
{x} that is in the domain to plug into the equation.

Choose
{0} to substitute in for
{x} to find the ordered pair.


{(0,0)}

Choose
{1} to substitute in for
{x} to find the ordered pair.


(1,(5)/(2))

Choose
{2} to substitute in for
{x} to find the ordered pair.


{(2,5)}

These are three possible solutions to the equation.


{(0,0),}
(1,(5)/(2) ),
{(2,5)}

User Kavian Rabbani
by
2.8k points
16 votes
16 votes
Let’s set up steps to solve for the ordered pair.

1. Eliminate x on the left side

-3x + 5y + 3x = 2x + 3y + 3x

5y = 5x + 3y

2. Eliminate y on the right side

5y - 3y = 5x

2y = 5x

3. Divide both sides by the coefficient of y

2 / 2 = 1
5 / 2 = 5/2

4. Simplify

y = 5/2x

The ordered pair(s) representative of the solution to this equation would be (2, 5), (0, 0), or (1, 5/2).
User DimG
by
3.0k points