Question

Which point below is a solution to the equation y = 2x + 3?

A (145, 291)
B (78, 163)
C (37, 77)

Answer 1

C

Explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Answer 2

C (37, 77)

Explanation:

Option A:

`291=2(145)+3\\\\291=290+3\\\\\boxed{291\\eq 293}`

Option A is not a solution.

Option B:

`163=2(78)+3\\\\163=156+3\\\\\boxed{163\\eq 159}`

Option B is not a solution.

Option C:

`77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}`

Option C is a solution.

Hope this helps.