Question

Consider the following system of equations.

3x + 5y = 18
6x − 5y = 20

Decide which procedures eliminate the x variable and which eliminate the y variable. Drag and drop each procedure that will eliminate one of the variables into the appropriate category.

Subtract the second equation from the first equation.
Add the first and second equations. Multiply the first equation by −2; then add the two equations.
Divide the second equation by −2; then add the two equations. Subtract the first equation from the second equation.
Multiply the first equation by 2 then add the two equations.
Eliminate x Eliminate y

Answer 1

Option B

On adding the first and second equations y can be eliminated

Explanation:

The two equations are as follows

3x + 5y = 18 -- Eq (1)

6x − 5y = 20 -- Eq (2)

Adding equation 1 and 2, we get -

3x + 6x + 5y -5y = 18

9x = 18

x = 2

y = (18-3*2)/5

y = 12/5 = 2.4