Question

Please help!! I'll give 50 points

Solve the system of equations.
2x + 9y = 6

-7x - 8y = -21

Answer 1

Answer: y=0 and x=3

Step 1: Solve for x in 2x+9y=6.

`2x+9y=6`

`2x=6-9y` (Subtract 9y from both sides)

`x=3 - 4.5y`( Divide both sides by 2)

Step 2: Replace x with 3-4.5y

`-7x - 8y = -21\\-7(3-4.5y) - 8y = -21\\`

Step 3: Solve for y

`(-21)+31.5y-8y=(-21)` (By looking at this, we can determine that y=0)

Step 4: Replace y with 0

`2x+9y=6\\2x+9(0)=6\\2x=6\\`

`x=3` (Divide both sides 2)

Therefore, y=0 and x=3