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scoundrel [369]
3 years ago
15

10(y+2)-y=2(9y-8) i need to know how to solve it

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

10(y+2)-y=2(9y-8)

Mutiply the first bracket by 10

Mutiply the second bracket by 2

(10)(y)(10)(2)= 10y+20

(2)(9y)(2)(-8)= 18y-16

10y+20-y= 18y-16

10y-y+20= 18y-16

9y+20= 18y-16

move 18y to the other side

sign changes from +18y to -18y

9y-18y+20= 18y-18y-16

-9y+20= -16

move +20 to the other side

sign changes from +20 to -20

-9y+20-20=-16-20

-9y= -36

divide by -9

-9y/-9= -36/-9

y= 4

Answer: y= 4

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Answer:

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Step-by-step explanation:

4x + 9x + 8x = 147

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The shortest side will be 4x

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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
The solution to the system is (6,2) Select all the equations that could be the other equation in the system. PLZ HELPPPPPP there
Dovator [93]

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The attached graph shows which lines go through the given point. They are ...

  y = 1/2x -1 . . . . 1st selection

  y = -1/6x +3 . . . 3rd selection

__

The equations can be found algebraically by substituting the given point in the equation and seeing if the result is a true statement.

  a) 2 = (1/2)(6) -1 = 3 -1 . . . true

  b) 2 = -3(6) . . . . false

  c) 2 = -1/6(6) +3 = -1 +3 . . . true

  d) 2 = 2/3(6) -1 = 4 -1 . . . . false

  e) 2 = 4(6) -2 = 24 -2 . . . . false

  f) 2 = -3/2(6) +6 = -9 +6 . . . . false

6 0
2 years ago
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