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3 years ago

Can someone solve these simultaneous equations and explain the way to do this easily:

1 answer:

N76 [4]3 years ago

8 0

The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.

(3x + y = -4)
-(3x -4y = 6)

Distribute the negative:

(3x + y = -4)
(-3x + 4y = -6)

Now add the equations together term by term:

0x + 5y = -10

5y = -10

y = -2

Plug y = -2 into either equation to find x.

3x + (-2) = -4

3x = -2

x = -2/3

So the answer as an ordered pair is (-2/3, -2)

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Andrews [41]

It’s A
Cuz 16 \ by 2 is 8 and 36/ by 2 is 18

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3 years ago

Work out the value of (3.5 x 10^6) ÷ (5 x 10^-3)<br>give your answer in standard form.

Debora [2.8K]

I hope this helps you

3.5×10^6/5×10^-3

35×10^5/5×10^-3

7×10^5×10^3

7×10^5+3

7×10^8

700000000

7 0

3 years ago

Read 2 more answers

Plz help! It’s not hard I just don’t properly understand

jonny [76]

Answer:

$a_{13}=2(13)+13=39$

39 is the 13th term

Step-by-step explanation:

Okay so essentially the $a_n$ is just a substitute for x.

See how in the equation they put n into the x spot:

$y=mx+b\\a_n=mn+b\\a_n=2n+13$

They changed the variable names:

$y=a_n\\m=2\\n=x\\b=13$

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:

When they say, 13 term, they mean $a_{13}$ which would be the 13th answer in the series. So the first term would be based off of $a_1$

$a_1=2(1)+13\\a_1=15$

So whatever number is in the n position by a is what you'll be plugging into the x spot.

$y=mx+b\\a_n=2n+13\\a_1=2(1)+13=15\\a_2=2(2)+13=17\\a_3=2(3)+13=19\\a_4=2(4)+13=21\\a_5=2(5) +13=23\\a_6=2(6)+13=25\\a_7=2(7)+13=27\\a_8=2(8) +13=29\\a_9=2(9)+13=31\\a_{10}=2(10)+13=33\\a_{11}=2(11)+13=35\\a_{12}=2(12)+13=37\\a_{13}=2(13)+13=39$

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.

7 0

2 years ago

Please i need help on this i’m stuck

gtnhenbr [62]

Perimeter would be 6pi+21.4

4 0

3 years ago

Carl bought 6 hot dogs and 5 drinks and paid $25.10 Susan purchased 6 hot dogs and 3 drinks and was charged $20.10 what is the c

svetlana [45]

Answer:

Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.

Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35

Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25

First let's re-write equation 1 to solve for y:

10x + 5y = 35

5y = 35 - 10x (subtract 10x from both sides)

y = 7 - 2x (divide both sides by 5)

Next, let's substitute 7 - 2x for y in equation 2:

7x + 4y = 25.25

7x + 4(7-2x) = 25.25

7x + 28 - 8x = 25.25

-x + 28 = 25.25

x - 28 = -25.25

Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.

Step-by-step explanation:

Hope it helpful

5 0

2 years ago