Question

In the linear equation y = 14x + 54, are (1,1.5) and (12,4) solutions to the equation?

a. Yes, both are solutions.
b. No, neither is a solution.
c. Only (1,1.5) is a solution.
d. Only (12,4) is a solution.

Answer 1

Neither (1,1.5) nor (12,4) are solutions to the equation y = 14x + 54. Therefore, neither (1,1.5) nor (12,4) are solutions to the equation y = 14x + 54.

Step-by-step explanation:

In the linear equation y = 14x + 54, we can substitute the x and y values from the given points to check if they satisfy the equation.

For the point (1,1.5):

Substituting x = 1 and y = 1.5 into the equation gives 1.5 = 14(1) + 54. Simplifying this equation gives 1.5 = 14 + 54, which is not true. Therefore, (1,1.5) is not a solution to the equation.

For the point (12,4):

Substituting x = 12 and y = 4 into the equation gives 4 = 14(12) + 54. Simplifying this equation gives 4 = 168 + 54, which is not true. Therefore, (12,4) is not a solution to the equation.

Therefore, neither (1,1.5) nor (12,4) are solutions to the equation y = 14x + 54.