Write the system of equations for the following scenario:

Question

The sum of twice the square of the first number plus the second number is 9.
The difference between twice the first number and the second number is 15.
Linear Equation:_____
Quadratic Equation:______

Answer 1

Just translate the English into Math:
"The sum of twice the square of the first number plus the second number is 9."
Let the first number be x
let the second number be y

2x^2 + y = 9

"The difference between twice the first number and the second number is 15."
2x - y = 15 , (could have been y - 2x = 15, you did not specify which way the subtraction went)

Answer 2

thank you very much!