We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You’ll get -5x^2 + 30x = y + 34.
Next, you need to factor out a -5 from the left side, so you’ll get -5(x^2 -6x) = y + 34. Then, complete the square on the left. You’ll get -5(x-3)^2 = y - 11. Finally, add 11. The answer is y = -5(x-3)^2 + 11
KFC
Keep Flip Change
Keep the first fraction
3/4
Flip the second fraction(reciprocal)
6/1 -> 1/6
Change the sign
÷ -> ×
So
3/4 × 1/6
Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
<u>Part 1</u>
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:

x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
<u>Part 2</u>
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!