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

Answer:

$(0, -\frac{7}{3})$

Step-by-step 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 $y$

$3y+2=2x-5\\3y=2x-5-2\\y=\frac{2x-7}{3}$

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

$y=\frac{2x-7}{3}\\y=\frac{2(0)-7}{3}=\frac{-7}{3}$

Therefore, one pair of solution is $(0, -\frac{7}{3})$