Question

4) Which step could be completed in order to prepare the system of equations below for the elimination method?

Answer 1

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: $5x-3y=10$

2nd equation: $8x+6y=15$

For elimination method,

We eliminate the y by multiplying 1st equation by 2 and add by 2nd equation.

i.e. 1st equation became  $10x-6y=20$

Add with 2nd equation,

$10x-6y+8x+6y=20+15$

$18x=35$

$x=\frac{35}{18}$

Substitute in (1),

$5(\frac{35}{18})-3y=10$

$\frac{175}{18}-3y=10$

$3y=\frac{175}{18}-10$

$3y=\frac{175-180}{18}$

$3y=\frac{-5}{18}$

$y=\frac{-5}{54}$

Therefore, the step  could be completed in order to prepare the system of equations below for the elimination method is option C.