Question

Which ordered pairs are solutions to the equation? Show your work for all points and if they are solutions.

3y - 7x = -2
(4/7 , 2/3)
(0 , -2/3)
(11 , 25)
(2 , 4)
(2/7 , 0 )
(-4 , -10)
Show your work

Answer 1

First solve for x or y

3y - 7x = -2

3y = 7x - 2

y = (7/3)x - 2/3

Now substitute the x value into this equation and if it equals the yvue, then it's a solution.

y = (7/3)(4/7) - 2/3

y = 4/3 - 2/3

y = 2/3 ✓

y = (7/3)0 - 2/3

y = -2/3 ✓

y = (7/3)11 - 2/3

y = 77/3 - 2/3

y = 75/3 = 25 ✓

y = (7/3)2 - 2/3

y = 14/3 - 2/3

y = 12/3 = 4 ✓

y = (7/3)(2/7) - 2/3

y = 2/3 - 2/3

y = 0 ✓

y = (7/3)-4 - 2/3

y = -28/3 - 2/3

y = -30/3 = -10 ✓

They are all solutions