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3 years ago

Whats the linear function in slope intercept form : -6x+9y=54

Mathematics

2 answers:

babunello [35]3 years ago

4 0

9y = 6x + 54
divide through by 9:-
y = 6/9y + 54/9

y = 2/3 x + 6 <---- answer

creativ13 [48]3 years ago

3 0

The slope-intercept form is : $y=ax+b$ so all you have to do is solve for y

$^{-}6x+9y=54$ Equation

$9y=6x+54$ Add 6x to both sides

<span> $y= \frac{2}{3}x+6$ Divide by 9 on both sides
</span>
Therefore the linear function is y=2/3x+6

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3 years ago

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Ira Lisetskai [31]

Answer:

Step-by-step explanation:

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3 years ago

Lindsey is considering purchasing an item that costs $860 and has a discount of 15 % . What is the amount of discount on

Blizzard [7]

Answer:

$129

Step-by-step explanation:

We need to find 15% of $860.

15% of $860 =

= 15% * $860

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4 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$