SOLUTION: Answer as true or false. Given the system 5x-4y=1 7x-2y=5 a. To eliminate the y-variable using the addition method, multiply the second equati

Algebra ->  Linear-equations -> SOLUTION: Answer as true or false. Given the system 5x-4y=1 7x-2y=5 a. To eliminate the y-variable using the addition method, multiply the second equati      Log On


   

Question 186801: Answer as true or false.
Given the system
5x-4y=1
7x-2y=5
a. To eliminate the y-variable using the addition method, multiply the second equation by 2.
b. To eliminate the x-variable, multiply the first equation by 7 and the second equation by -5.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

5x-4y=1, EQN 1
7x-2y=5, EQN 2
a. To eliminate the y-variable using the addition method, multiply the second equation by 2.
We do as per instructed , multiply EQN 2 by 2:
14x-4y=10, then add to EQN 1:
5x-4y=1
--------------
19x-8y=11----> DOES NOT ELIMINATE Y-Variable
ANSWER:FALSE
.
b. To eliminate the x-variable, multiply the first equation by 7 and the second equation by -5.
cross%2835x%29-28y=7, EQN 1 multiplied by 7
cross%28-35x%29%2B10y=-25, EQN 2 multiplied by -5
-----------------
-18y=-18--->ELIMINATES X-VAriable
Answer: TRUE
Thank you,
Jojo