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4 years ago

(Please show all work) 1). Solve x- y/7=2 for y

Mathematics

1 answer:

Nat2105 [25]4 years ago

6 0

1. You can solve this problem like you would any other equation:

x-(y/7)=2

*Subtract x from both sides*

-y/7=2-x

*Multiply both sides by 7*

-y=14-7x

*Divide both sides by -1*

y=7x-14

2. This is the same as finding the slope. The equation for slope is (y2-y1)/(x1-x2).

(53-8)/(10-1)

45/9

3. The general formula for a linear equation is y=mx+b, where m is the slope and b is the y-intercept. The slope will remain the same because the lines are parallel. To solve for b, plug in the given coordinates:

4=0.5(6)+b

4=3+b

*Subtract 3 from both sides*

1=b

The equation is y=1/2+1

Hope this helps!!

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2 years ago

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For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? 3/7 7/3 10 21

Elza [17]

Hello there,

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So this would be (7)(3)=k

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3 years ago

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The quotient of

vova2212 [387]

$\displaystyle{ \frac{y^2-16}{4y-16} \div \frac{y+4}{16y}= \frac{y^2-16}{4y-16}\cdot\frac{16y}{y+4}\\\\$

$\displaystyle{ = \frac{y^2-4^2}{4(y-4)} \cdot\frac{16y}{y+4}= \frac{(y-4)(y+4)}{4(y-4)}\cdot\frac{16y}{y+4} = \frac{16y}{4}=4y$

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Remark: $y^2-4^2=(y-4)(y+4)$ by the difference of squares identity, or formula.

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3 years ago