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Pani-rosa [81]
4 years ago
12

How do you solve these two equations? Please Help!!y = 2x + 160 y = - 3x + 208

Mathematics
1 answer:
Archy [21]4 years ago
6 0
Their are 2 main methods of solving 2 equations with 2 variables:
1) SUBSTITUTION
2) ELIMINATION
I'll show you both:

1) y = 2x + 160
y = - 3x + 208
plug what y is equal to in 1st equation into the y of the 2nd:
2x + 160 = -3x + 208
2x + 3x + 160 = -3x + 3x + 208
5x + 160 -160 = 208 - 160
5x = 48
5x/5 = 48/5
x = 48/5 = 9 3/5
now plug that x into either one of the original equations: y = -3x + 208 = -3(48/5) + 208
y = -144/5 + 208 = 1040/5 - 144/5 = 896/5
y = 179 1/5

2) add the whole equations together so as to cancel out one of the variables:
I'm choosing to eliminate the y, so we need y-y to remove the y's, I'll multiply the whole 2nd equation by -1 to make that -y
-1 (y = - 3x + 208)
-y = 3x - 208
So set it up like:
y = 2x + 160
-[y = 3x - 208]
---------------------
0 = 5x - 48
0+48 = 5x -48 +48
5x = 48
5x/5 = 48/5
x = 48/5
plug that x value into one of the original equations: y = 2x + 160 = 2(48/5) + 160
y = 96/5 + 160 = 96/5 + 800/5 = 896/5
y = 179 1/5

SO WE GOT THE SAME VALUES BOTH WAYS.
WHEN YOU SEE FUTURE PROBLEMS LIKE THESE, SOME WILL BE QUICKER BY ELIMINATION AND OTHERS BY SUBSTITUTION

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The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from
beks73 [17]

" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function ⇒ D

Step-by-step explanation:

The form of the linear function is f(x) = mx + b, where

  • m is the slope (rate of change) of the function
  • b is the y-intercept (initial amount) of the function

∵ f(x) = 37 x + 20 models the total cost for Rachel to be a member

   at a gym for x months

∵ f(x) = m x + b

∴ m = 37 and b = 20

∵ m represents the rate of change

- That means she must to pay 37 per month for x months

∴ Rachel must pay $37 per month to use the gym

∵ b represents the initial amount

- That means she pays a fixed amount one time

∴ Rachel must pay a $20 membership fee to join the gym

" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function

Learn more:

You can learn more about the linear function in brainly.com/question/1284310

#LearnwithBrainly

3 0
4 years ago
Equivalent to(3-5b)2
Arte-miy333 [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ASAP! and thank you if you do
Leto [7]

Answer: 600, 648, kite

Step-by-step explanation:

area of trapezoid

use formula h(b1+b2)/2

h = 12

b1 = 44

b2 = 56

plug in numbers to get

12(44+56)/2

= 600

area of kite

use formula pq/2

p = height = 12 + 12 = 24

q = length = 44 + 10 = 54

plug in numbers to get

24*54/2

= 648

larger area

since 600 < 648, max will choose the kite

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3 years ago
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Step-by-step explanation:

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4 years ago
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Hello, necesito saber cual es el 8% de 575
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