Question

Which system of equations has the same solution as the system below?

3x+3y=8
2x-y=5
A. 3x+3y=8
4x-2y=5
B. 3x+3y=8
4x-2y=10
C. x+y=8
2x-y=5
D. 9s+9y=22
18x+9y=45

Answer 1

A. 3x+3y=8 Because if you take 4x-2y=5 and divide it by 2 you get the same answer as the original equation
4x-2y=5
2
2x-y=5

Answer 2

The correct option is B. 3x + 3y = 8 and 4x - 2y = 10

Explanation:

The given system of equation is :

3x + 3y = 8

2x - y = 5

On solving both the equations, We get

`x=(23)/(9)\:,y=(1)/(9)`

Now, The system of equation in B is :

3x + 3y = 8

4x - 2y = 10 ⇒ 2x - y = 5

So, This system is equal to the given system of equation

So, The solution to this system will also be the same to the given system of equations

Therefore, The correct option is B. 3x + 3y = 8 and 4x - 2y = 10