Y - 1 = 4y - 2/3. Move the ys over to one side, +4y crosses over to become -4y,
and -1 crosses over the right side to become +1.
y -4y = -2/3 + 1
-3y = 1 - 2/3
-3y = 1/3 Divide both sides by -3.
-3y/-3 = (1/3) / -3.
y = 1/3 * -1/3
y = - 1/9
Answer:
Interval notation [-2, 0) U (0, 7]
Step-by-step explanation:
2x+4y=0
3x+y=10
So what we want to do is get y onto one side by itself using whatever equation you like.
So I'm taking 2x+4y=0 and subtracting 4y from both sides
So we end up with
2x=4y
Divide both sides by four
2/4x is 1/2 x
So we get 1/2x=y
Take this and plug it into the other equation
3x+y=10
3x+1/2x=10
Add your like terms
3 1/2x=10
Putting 3 1/2 as a mixed number we get 7/2
So..
7/2x=10
Multiply by the opposite of 7/2 on both sides
Which is 2/7 this will cancel out the left side.
So we end up with
X= 10•2/7
X=20/7
Which is 2 and 6/7 as a mixed number.
The answer is going to be 7/8. hope that helped
x² + 10x = 26
x² + 10x + 25 = 26 + 25
x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
x(x + 5) + 5(x + 5) = 51
(x + 5)(x + 5) = 51
(x + 5)² = 51
x + 5 = ±√(51)
- 5 - 5
x = -5 ± √(51)
x = -5 + √(51) or x = -5 - √(51)