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Lorico [155]
3 years ago
8

Find the value of y in the solution to the system of equations shown. y= 12x+7 y=-6x+25

Mathematics
2 answers:
Nitella [24]3 years ago
5 0

Answer:

Alright well solve first the variable in one of the equations, then substitute the result into the other equation

Point form: (1, 19)

equation form: x = 1 and y = 19

Hope this helps have a nice day :)


Step-by-step explanation:


padilas [110]3 years ago
4 0

Answer:  The required value of y is 19.

Step-by-step explanation:  We are given to find the value of y in the solution to the following system of equations :

y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Comparing equations (i) and (ii), we get

12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.

From equation (i), we get

y=12\times1+7=12+7=19.

Thus, the required value of y is 19.

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Answer:

see below

Step-by-step explanation:

1.

m = (y2-y1)/(x2-x1)

    = (90-80)/(0-1)

     = 10/-1

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The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

4.

m = (y2-y1)/(x2-x1)

    = (1000-0)/(3-0)

     = 1000/3

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The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

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Step-by-step explanation:

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The length of a rectangle is 6 yd more than twice the width x. The area is 416 yd2. Find the dimensions of the rectangle.
kati45 [8]

Answer:

13 yds * 32 yds

Step-by-step explanation:

A=area, l=length, w=width

A=w*l

l=6+2w

A=w*(6+2w)

A=6w+2w^2

416=6w+2w^2

416/2=(6w+2w^2)/2

208=3w+w^2

208-208=3w+w^2-208

w^2+3w-208=0

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w(w+16)-13(w+16)=0

(w-13)(w+16)=0 ==> w+16=0 ==> w=-16, w can't be negative.

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<u>w=13</u>

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l=6+2(13)

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8 0
1 year ago
Select the list that correctly includes all of the coefficients from the problem
matrenka [14]

Answer:

( B.) 6, 1, -2 , -4

Step-by-step explanation:

A coefficient is a number multiplied by a variable. So, in this case let's take a look at the problem.

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