Question

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

The resulting quadratic equation that would be a step in solving the given system of equations is x² + 3x + 10 = 0.

Step-by-step explanation:

The resulting quadratic equation that would be a step in solving the given system of equations is x² + 3x + 10 = 0.

To solve the system of equations, we can substitute the value of y from the first equation into the second equation. This gives us:

x² + 4x + 7x - 10 = 0

Simplifying the equation gives us:

x² + 11x - 10 = 0

Therefore, x² + 3x + 10 = 0 is a step in solving the given system of equations.

Answer 2

The second one will be the answer