Given the system of equations presented here:

3x + 5y = 29
x + 4y = 16

Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?
A) Multiply the second equation by βˆ’1 to get βˆ’x βˆ’ 4y = βˆ’16
B) Multiply the second equation by βˆ’3 to get βˆ’3x βˆ’ 12y = βˆ’48
C) Multiply the first equation by βˆ’1 to get βˆ’3x βˆ’ 5y = βˆ’29
D) Multiply the first equation by βˆ’3 to get βˆ’9x βˆ’ 15y = βˆ’87

Respuesta :

Hello!

The goal for elimination is to add or subtract 2 equation to get rid of a variable

So we are looking for an answer that allows that

The answer is B since then we can add the equations together to eliminate x

Hope this helps!
b.
hope this helps :)