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Pavlova-9 [17]
3 years ago
14

50 points, question is below.

Mathematics
2 answers:
REY [17]3 years ago
8 0

x^2+3x-10\neq0\\\\x^2+5x-2x-10neq0\\\\x(x-5)-2(x+5)\neq0\\\\(x+5)(x-2)\neq0\to x+5\neq0\ \wedge\ x-2\neq0\\\\x\neq-5\ \wedge\ x\neq2\\\\\dfrac{x+5}{x^2+3x-10}=\dfrac{x+5}{(x+5)(x-2)}=\dfrac{1}{x-2}\\\\Answer:\ x=2

Naily [24]3 years ago
5 0

Answer:

the answer is X=2

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Can someone help me i need an answer in 20 mins!!!!
Morgarella [4.7K]

Answer:

x=7

Step-by-step explanation:

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

2(x+13)=(x−2)⋅8

Solve the equation for x.

Simplify 2(x+13).

Start simplifying.

0+0+2(x+13)=(x−2)⋅8

Simplify by adding zeros.

2(x+13)=(x−2)⋅8

Apply the distributive property.

2x+2⋅13=(x−2)⋅8

Multiply 2 by 13

2x+26=(x−2)⋅8

Simplify (x−2)⋅8

Apply the distributive property.

2x+26=x⋅8−2⋅8

Simplify the expression.

Move 8 to the left of x

2x+26=8⋅x−2⋅8

Multiply −2 by 8

2x+26=8x−16

Move all terms containing x to the left side of the equation.

Subtract 8x from both sides of the equation

2x+26−8x=−16

Subtract 8x from 2x

−6x+26=−16

Move all terms not containing x to the right side of the equation.

Subtract 26 from both sides of the equation

−6x=−16−26

Subtract 26 from −16

−6x=−42

Divide each term in −6x=−42 by −6 and simplify

Divide each term in −6x=−42 by −6

Simplify the left side

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x=7

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Step-by-step explanation:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the system of equations 4x - 2y =8 3x + 4y = 17​
igor_vitrenko [27]

Answer:

Solution: x = 3, y = 2, or (3, 2)

Step-by-step explanation:

Given the systems of linear equations with two variables:  

\displaystyle\mathsf{\left \{{Equation\:1:\:4x - 2y =\:8} \atop {Equation\:2:\:3x + 4y = 17}} \right}

The <u>process of elimination</u> will be used to solve for the solution to the given problem.  

<h3><u /></h3><h3><u>Step 1:</u></h3>

First, we must multiply Equation 1 by 2:

(2)[4x - 2y] = 8(2)

8x - 4y = 16

<h3><u>Step 2:</u></h3>

Add the revised Equation 1 (from the previous step) to Equation 2:

\displaystyle\mathsf{\left \ {{\quad \:\:\:8x\:- 4y = 16} \atop + {\quad\underline {\:\:3x\:+ 4y = 17\:} \underline}} \right.}\\\displaystyle\mathsf{\qquad\:\:11x\qquad\:=33}

<h3><u>Step 3:</u></h3>

Next, divide both sides by 11 to solve for x:

\displaystyle\mathsf{\frac{11x}{11}\:=\:\frac{33}{11}}

x = 3

<h3><u>Step 4:</u></h3>

Substitute the value of x = 3 into Equation 1 to solve for y:

4x - 2y = 8

4(3) - 2y = 8

12 - 2y = 8

<h3><u>Step 5</u>: </h3>

Subtract 12 from both sides:

12 - 12 - 2y = 8 - 12

- 2y = -4

<h3><u>Step 6</u>: </h3>

Divide both sides by -2 to solve for y:

\displaystyle\mathsf{\frac{-2y}{-2}\:=\:\frac{-4}{-2} }

y = 2

<h2><u>Double-check:</u></h2>

In order to verify whether we have the correct values for the solution, substitute x = 3, and y = 2 into both equations:

Equation 1:  4x - 2y = 8  

4(3) - 2(2) = 8  

12 - 4 = 8

8 = 8 (True statement).

Equation 2: 3x + 4y = 17​

3(3) + 4(2) = 17​

9 + 8 = 17

17 = 17 (True statement).

Therefore, the solution to the given system is x = 3, y = 2, or (3, 2).

4 0
3 years ago
Read 2 more answers
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