Question

To solve the system of linear equations 3 x + 5 y = 2 and 6 x + 10 y = 8 by using the linear combination method, Laura correctly multiplied the first equation by –2 to get Negative 6 x minus 10 y = negative 4 and then correctly added the equations Negative 6 x minus 10 y = negative 4 and 6 x + 10 y = 8 to get 0 = 4. How many solutions are there to the system of equations? 0 1 2 4

Answer 1

GIVEN :

The system of linear equations are 3x+5y=2 and 6x+10y=8 by using the Linear combination method.

TO FIND :

How many solutions are there to in the given system of equations.

SOLUTION :

Given that the system of linear equations $3x+5 y=2\hfill (1)$

and $6x+10y=8\hfill (2)$

by using the linear combination method.

Laura's steps are,

She correctly multiplied the equation (1) by -2 then

-2(3x+5y)=-2(2)

$-6x-10y=-4\hfill (3)$  and then correctly added the equations (2) and (3) we get,

6 x+10 y=8

-6x-10y=-4

__________

0x+0y=4

0=4

$0\neq 4$

∴ the given system of linear equations has no solution.

∴ the given system of equations 0 solution.

∴  option A) 0 is correct.

Answer 2

Answer:

Its option A i took the quiz and got 100%

Step-by-step explanation:

Or also known as 0