High School

Which system is equivalent to

1. \(5x^2 + By^2 = 50\)

2. \(7x^2 + 2y^2 = 10^2\)

(A)
\[
5x^2 + By^2 = 50 \\
7x^2 - 21x^2 - By^2 = 10
\]

(B)
\[
5x^2 + By^2 = 50 \\
-21x^2 - By^2 = 30
\]

(C)
\[
35x^2 + 42y^2 = 250 \\
-35x^2 - 10y^2 = 50
\]

(D)
\[
35x^2 + 42y^2 = 350 \\
-35x^2 - \frac{10}{2} = 50
\]

Answer :

Answer:

D

Step-by-step explanation:

Because If you add together to eliminate x you multiply the top by 7 and the bottom by 5 and you get d and that cancles out x. Sorry bad at explaining.

35x² +42y² = 350 and -35x² - 10/2 =-50 is equivalent to 5x² + By² = 50 and 7x² + 2y² = 10² system of equations.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are 5x² + By² = 50 and

7x² + 2y² = 10²

We need to find the equivalent system of equations.

Systems of equations that have the same solution are called equivalent systems.

35x² +42y² = 350 and -35x² - 10/2 =-50 are equivalent.

Because If you add together to eliminate x you multiply the top by 7 and the bottom by 5 and you get d and that cancles out x.

Hence, 35x² +42y² = 350 and -35x² - 10/2 =-50 is equivalent to 5x² + By² = 50 and 7x² + 2y² = 10² system of equations.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Other Questions