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Arlecino [84]
2 years ago
11

HELP PLEASEEEE ITS DUE SOON! SHOW YOUR WORK & ILL GIVE BRAINLIEST I PROMISE

Mathematics
1 answer:
laiz [17]2 years ago
3 0

Answer:

(2,10) or x=2 y=10

Step-by-step explanation:

<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>

5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)

5x=2y-10 (Divide the 5 from the x)

x=2/5y-2

<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>

3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)

6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)

36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)

y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)

y=10

<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>

5x-2(10)=-10 (Multiple 2 by 10)

5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)

5x=10 ( Divide 10 by 5)

x= 2

<em>4. If needed, plug in the values of x and y to check your solution.</em>

Hope this could help! :)

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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
Minchanka [31]

The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0
3 years ago
A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approxima
scZoUnD [109]

Answer: 12.65 ft

Pythagorean theorem is a^{2} + b^{2} = c^{2}

So, a^{2} + 3^{2} = 13^{2}

169 - 9 = 160

\sqrt{160} is 12.65.

Hope it helps.

4 0
2 years ago
I need help pls-
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Answer: y=4x

Step-by-step explanation:

hope it helped if not srry it was the answer to mine mate gl!

6 0
1 year ago
Simplify 7x^2+10x^2+5y^3
vova2212 [387]
7x^2+10x^2= 17x^2
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6 0
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Answer:

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5l -3+ (-7)l

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