Question

Select the correct answer. Consider the following system of equations. y − 10 = 7x y = x2 + 4x Determine which resulting quadratic equation would be a step in solving the given system of equations. x2 − 3x − 10 = 0 x2 − 3x + 10 = 0 x2 + 3x + 10 = 0 x2 + 3x − 10 = 0

Answer 1

To solve the system of equations, we can substitute the expression for y in the first equation into the second equation and get:

x^2 + 4x - 10 - 7x = 0

Rearranging the terms and simplifying, we get:

x^2 - 3x - 10 = 0

Therefore, the quadratic equation that would be a step in solving the given system of equations is:

x^2 - 3x - 10 = 0

So, the correct answer is: x^2 - 3x - 10 = 0