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

Verify each case

case A. Three angles measuring 25,65,and 90

sum of a internal angles=25+65+90> 180° is ok

That dimensions can create infinity similar triangles

case B. Three angles measuring 50,50,and 50

sum of a internal angles=50+50+50> 150°  is not a triangle

therefore

That dimensions cannot create a triangle

case C. Three sides measuring 5 in,12 in,and 14 in

Applying the Triangle Inequality Theorem

5+12>14 -- >  is ok

14+5>12 --- > is ok

12+14>5 --- > is ok

That dimensions can create only one unique triangle

case  D. Three sides measuring 4 ft,8 ft, and 14 ft

Applying the Triangle Inequality Theorem

4+8>14 -- >  is not true

therefore

That dimensions cannot create a triangle

the answer is

Option C. Three sides measuring 5 in,12 in,and 14 in

Step-by-step explanation: