Question

The elimination method was used to solve the following system of equations: x2 – y = –5 x2 y2 = 25 which of the following is the correct y-coordinate of the solution? 5 4 0 –1

Answer 1

When using the elimination method to solve the system of equations, the correct y-coordinate of the solution is 0.

Step-by-step explanation:

To solve the system of equations using the elimination method, we need to eliminate one variable by manipulating the equations. In this case, we can eliminate the variable x by multiplying the first equation by -1 and adding the two equations together.

Multiplying the first equation by -1, we get -x^2 + y = 5. Adding this equation to the second equation, we get (-x^2 + y) + x^2y^2 = 25.

Simplifying the equation, we have y + x^2y^2 = 25. Rearranging the equation, we get x^2y^2 + y = 25.

Now, we can solve this equation for the y-coordinate of the solution.

Subtracting y from both sides, we get x^2y^2 = 25 - y.

Since we know that x^2y^2 = 25, we can substitute this value into the equation: 25 = 25 - y.

Simplifying the equation, we have 0 = -y.

Multiplying both sides of the equation by -1, we get 0 = y.

Therefore, the correct y-coordinate of the solution is 0.