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Aliun [14]
3 years ago
12

Solve Linear Equations with Rational Numbers #2

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer:

  multiply by 3, applying the multiplication property of equality

  -6/5x = 4y +6

Step-by-step explanation:

Your video probably tells you what is expected here.

Ordinarily, we would multiply both sides of the equation by the least common denominator of the fraction: 15. That would eliminate <em>all</em> of the fractions. Your form seems to indicate that the coefficient of x remains a fraction after the multiplication. That makes the intent unclear to those of us who have not seen your video.

The multiplication property of equality is applied.

<h3>1.</h3>

Multiply both sides of the equation by 15. This clears all the fractions.

  15(-\dfrac{2}{5}x)=15(\dfrac{4}{3}y+2)\\\\-6x=20y+30

__

<h3>2.</h3>

If we just clear the fraction for y, we do that by multiplying both sides by 3.

  3(-\dfrac{2}{5}x)=3(\dfrac{4}{3}y+2)\\\\\dfrac{-6}{5}x=4y+6

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lesya692 [45]

Answer:

\angle\,A=72^o\\\angle\,B=108^o

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles \angle \,A and \angle \,C must equal each other. Then, based on the info given,  we can write the following equation:

3\,y+27^o=5\,y-3^o\\27^o+3^o=5\,y-3\,y\\30^o=2\,y\\y=15^o

Then, angle \angle \,A =5\,(15^o)-3^o=72^o  which is also equal to angle B

and since the addition of all internal angles of the parallelogram must equal 360^o , then:

B+D=360^o-72^o-72^o=216^o

and therefore, since \angle \,B and \angle \,D  must be equal, then:

\angle\,B=\frac{216^o}{2} =108^o

8 0
3 years ago
Simplify this expression: -8w+(-4z)+2+6w+9z-7
White raven [17]

Answer:

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Step-by-step explanation:

-8w+(-4z)+2+6w+9z-7

Step 1: Group the terms together

-8w+6w+(-4z)+9z+2-7

Step 2: Add like terms

(-8w+6w)+(-4z+9z)+(2-7)

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Thats as simplified as it can get :)

5 0
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How much is 1200 pounds of corn plus 25% more?
RoseWind [281]
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4 0
3 years ago
Find the measure of b and d given that m||n.
MrRa [10]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance fr
Ronch [10]

Answer:x - number of minutes;

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Step-by-step explanation:

3 0
3 years ago
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