Solve the system using linear combination. Show all work.
{9x + 5y = 35
{2x + 5y = 0

Step-by-step explanation:

9x+5y=35

Step 1: Add -5y to both sides.

9x+5y+−5y=35+−5y

9x=−5y+35

Step 2: Divide both sides by 9.

9x9=−5y+359

x=−59y+359

x=−59y+359

Let's solve for x.

2x+5y=0

Step 1: Add -5y to both sides.

2x+5y+−5y=0+−5y

2x=−5y

Step 2: Divide both sides by 2.

2x2=−5y2

x=−52y

x=−52y

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!