Answer:
Option C - Multiply the 1st equation by 2
Step-by-step explanation:
To find : Which step could be completed in order to prepare the system of equations below for the elimination method?
Solution :
1st equation: [tex]5x-3y=10[/tex]
2nd equation: [tex]8x+6y=15[/tex]
For elimination method,
We eliminate the y by multiplying 1st equation by 2 and add by 2nd equation.
i.e. 1st equation became [tex]10x-6y=20[/tex]
Add with 2nd equation,
[tex]10x-6y+8x+6y=20+15[/tex]
[tex]18x=35[/tex]
[tex]x=\frac{35}{18}[/tex]
Substitute in (1),
[tex]5(\frac{35}{18})-3y=10[/tex]
[tex]\frac{175}{18}-3y=10[/tex]
[tex]3y=\frac{175}{18}-10[/tex]
[tex]3y=\frac{175-180}{18}[/tex]
[tex]3y=\frac{-5}{18}[/tex]
[tex]y=\frac{-5}{54}[/tex]
Therefore, the step could be completed in order to prepare the system of equations below for the elimination method is option C.
