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ad-work [718]
3 years ago
6

2x+7y=1 X+5y=2 answer using elimination method

Mathematics
1 answer:
miskamm [114]3 years ago
5 0
\left \{ {{2x+7y=1} \atop {x+5y=2\ \ |*(-2)}} \right. \\\\
 \left \{ {{2x+7y=1} \atop {-2x-10y=-4}} \right. \\+----\\elimination\ method\\\\
-3y=-3\ \ \ | divide\ by\ -3\\
y=1\\\\
x=2-5y=2-5=-3\\\\
solution:\\ \left \{ {{y=1} \atop {x=-3}} \right.
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What is the value of x?<br><br> see attachment below
Kitty [74]

Answer:

  x = 31

Step-by-step explanation:

The perimeter is the sum of the equal-length sides:

  63 = (x -10) +(x -10) +(x -10)

  63 = 3x -30 . . . . . . . . collect terms

  21 = x -10 . . . . . . . . . . divide by 3

  31 = x . . . . . . . . . . . . . add 10

4 0
3 years ago
Arthur made 68% of his free-throw attempts during practice. If he attempted 50 free throws, how many of them
RSB [31]

Answer:

c. 34

Step-by-step explanation:

68% of 50 is 34

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4 0
3 years ago
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Simplify as far as possible.<br> 2√125−5√5
sveticcg [70]

Answer:

5

Step-by-step explanation:

Simplify (-10- square root of 125)/5. −10−√1255 - 10 - 125 5. Simplify the numerator.

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3 years ago
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Is X-13=x+1 true or false
Black_prince [1.1K]

Answer: FALSE.

Step-by-step explanation:

Given the following equation provided in the exercise:

x-13=x+1

You need to solve for the variable "x".

In order to solve for "x" you can folllow the steps shown below:

1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:

x-13+(13)=x+1+(13)\\\\x=x+14

2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:

x-(x)=x+14-(x)\\\\0=14\ (FALSE)

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3 0
3 years ago
Solve the system by substitution x=-8y-15 2x+5y=-8
Ghella [55]

To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation.  This is modeled below:

x = -8y - 15

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2 (-8y - 15) + 5y = -8

Now, we should solve this new equation for y.  To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.

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Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.

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Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.

-11y = 22

After that, we should divide both sides of the equation by -11 in order to get the variable y alone.

y = -2

Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).

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x = -8(-2) - 15

To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.

x = 16 - 15

x = 1

Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.  

Hope this helps!

3 0
3 years ago
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