High School

Using substitution to solve the system of equations with the point (3, 6), what are the values of x and y?

A) x = 9, y = 6
B) x = 3, y = 6
C) x = 6, y = 3
D) x = 2, y = 9

Answer :

Final answer:

Given the equation y = 9 + 3x, substituting x = 3 does not yield y = 6, hence the point (3, 6) does not satisfy the equation. Without additional equations to form a system, none of the provided answer choices are correct.

Explanation:

To determine the values of x and y using substitution in a system of equations, we can take the given point (3, 6) and substitute these values into the provided equations. The system of equations is not fully provided in the question, but we are given a specific equation y = 9 + 3x, which suggests a linear equation with a y-intercept of 9 and a slope of 3.

To check if the point (3, 6) satisfies this equation, we substitute x = 3 into the equation and see if we get y = 6:

y = 9 + 3(3)
y = 9 + 9
y = 18

Since we get y = 18, not y = 6, the point (3, 6) does not satisfy the equation y = 9 + 3x. Therefore, the correct values of x and y are not represented in this equation. If there is another equation in the system, we could use both to solve for x and y, but with the information provided, none of the answer choices are correct for the given equation.