Question

Which of the following is solution to the equation
y=5x-3

(-3,12)
(4,23)
(1,-2)
(-2,-13)

Answer 1

To check if a given point is a solution to the equation y=5x-3, we need to substitute the x and y values of the point into the equation and see if the equation holds true.

Let's check each point one by one:

1. Point (-3, 12):
Substituting x=-3 and y=12 into the equation y=5x-3, we get:
12 = 5(-3) - 3
12 = -15 - 3
12 = -18

Since the equation does not hold true for this point, (-3, 12) is not a solution.

2. Point (4, 23):
Substituting x=4 and y=23 into the equation y=5x-3, we get:
23 = 5(4) - 3
23 = 20 - 3
23 = 17

Since the equation does not hold true for this point, (4, 23) is not a solution.

3. Point (1, -2):
Substituting x=1 and y=-2 into the equation y=5x-3, we get:
-2 = 5(1) - 3
-2 = 5 - 3
-2 = 2

Since the equation does not hold true for this point, (1, -2) is not a solution.

4. Point (-2, -13):
Substituting x=-2 and y=-13 into the equation y=5x-3, we get:
-13 = 5(-2) - 3
-13 = -10 - 3
-13 = -13

Since the equation holds true for this point, (-2, -13) is a solution.

Therefore, the solution to the equation y=5x-3 is (-2, -13).