The standard form of a quadratic equation is
,
where
,
, and
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is

Since
is on the right side of the equation, we subtract that from both sides. The resulting equation is

Looking at the standard form equation
, we can see that

Use substitution
Given both y values, you know that they have to be equal
3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3
Solution: x = -2, y = -3
1. 3x+9-9=18-9
3x=9
x=3
2. 4x-12=20
4x-12+12=20+12
4x=32
x=8
3. x+0-0
x=0
4. x/2-2+2=9+2
x/2=11
(2)(x/2)=11(2)
x=22
5. 12x-21=3
12x-21+21=3+21
12x=24
x=2
6. 3x-15=18
3x-15+15=18+15
3x=33
x=11
7. 3x-25=14
3x-25+25=14+25
x=13
8. 3x+16=22
3x+16-16=22-16
x=2
9. 2x-8=2
2x-8+8=2+8
2x=10
x=5
10. 9x-18=9
9x-18+18=9+18
9x=27
x=3
11. x+0=0
x=0
12. 9x-8=19
9x-8+8=19+8
9x=27
x=3
If you want to check my answers
use substitution method by using the x into for each equation.
Answer:
y/(x - 10)
Step-by-step explanation:
The quantity is x minus ten, which means that it is (x - 10)
y divided by the quantity = y/(x - 10)
~
Answer: 50
Step-by-step explanation:
Step 1: 60% = .60
Step 2: 30 = .60Y
Step 3: Divide both sides of the equation by .30 to isolate the variable Y.
30/.60 = .60/.60Y
50=Y
Therefore, 30 is 60% of 50.