Question

Which ordered pair is a solution of 3y+2=2x-5?

Answer 1

in standard form:
2x - 3y = 7
2*5 - 3*1 = 7 so (5,1)

Answer 2

`(0, -(7)/(3))`

Explanation:

The given expression is

`3y+2=2x-5`

This is a linear equation, or a linear function, we can express it in slope-intercept for by isolating
`y`

`3y+2=2x-5\\3y=2x-5-2\\y=(2x-7)/(3)`

To find one pair that fits as solution, we can solve the expression for
`x=0`

`y=(2x-7)/(3)\\y=(2(0)-7)/(3)=(-7)/(3)`

Therefore, one pair of solution is
`(0, -(7)/(3))`