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Roman55 [17]
3 years ago
14

Solve4(2x - 3) = 6x + 2​

Mathematics
2 answers:
Aleks [24]3 years ago
8 0
X=7 hope it helps!!!!
Elden [556K]3 years ago
4 0

Answer:

x =7

Step-by-step explanation:

Let's solve your equation step-by-step.

4 ( 2x − 3 ) = 6x + 2

Step 1: Simplify both sides of the equation.

4 ( 2x − 3 ) = 6x + 2

( 4 ) ( 2x ) + ( 4 ) ( −3 ) = 6x + 2 ( Distribute )

8x + −12 = 6x + 2

8x − 12 = 6x + 2

Step 2: Subtract 6x from both sides.

8x − 12 − 6x = 6x + 2 − 6x

2x − 12 = 2

Step 3: Add 12 to both sides.

2x − 12 + 12 = 2 + 12

2x = 14

Step 4: Divide both sides by 2.

2x  / 2  =  14  / 2

x = 7

Hope it helps

Please mark me as the brainliest

Thank you

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Add the same term to both sides of the equation

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Given a∥b , and c is not parallel to a or b, which statements must be true?
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Answer:

1. We have been given that a∥b , and c is neither parallel to a nor b.

Let us see which of our given options are correct.

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B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.

C. By alternate interior angles m∠4=m∠5  as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.  

D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.

Therefore, Option C and D are correct choices.

2. We have been given that  AB∥CD and m∠4=85°. We are asked to find measure of ∠5.

Since we know that same side interior angles are supplementary. In our figure we can see that  ∠4 and ∠5 are same side interior angles.

Therefore, measure of ∠5 will be 95 degrees.  

Step-by-step explanation:

1. is m∠4=m∠5 by the alternate interior angle theorem.

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6. A cookie jar contains 315 M&amp;M's. There are only brown and
Romashka [77]

The system of equations representing the problem is

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and we have 35 brown M&M's and 280 green M&M's in the cookie jar.

<h3>Formulating the equations</h3>

If we let b represent the number of brown M&M's and g the number of green M&M's, then, from the sentence

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we can construct the algebraic equation

b+g=315

Also, from the sentence

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we can construct the algebraic equation

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overall, we have the system of equations with unknowns b and g

b+g=315\\8b-g=0

<h3>Solving the system of equations</h3>

Adding the two equations, we get

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Substituting this value for b into the relationship g=8b

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Therefore, we have 35 brown M&M's and 280 green M&M's

Learn more about word problems and systems of equations here brainly.com/question/14111058

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