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vesna_86 [32]
3 years ago
8

X= y-2 2x+3y=21 Solution_______

Mathematics
1 answer:
algol133 years ago
3 0
X= y-2

2x+3y=21
⇒ 2(y-2)+3y=21
⇒ 2y-4+3y= 21 (distributive property)
⇒ (2y+3y)-4= 21 (combine like terms)
⇒ 5y= 21+4
⇒ 5y= 25
⇒ y= 25/5
⇒ y= 5

The final answer is y=5~

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5y + 3 = 8y − 5 + 2y
DIA [1.3K]

Answer:

\fbox{y = 8/5 }

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

\: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

-5y = -8

÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

7 0
3 years ago
Read 2 more answers
PLS AWNSER FAST I WILL GIVE BRAILIEST
krok68 [10]
16p
Becase half of 8 is 4
4x4 is 16
6 0
2 years ago
What is the slope of the line?<br> 3(y - 1) = 2x + 2<br> Choose 1 answer:
fenix001 [56]

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

4 0
3 years ago
How many of you guys think Into The Night by Bath &amp; Body Works smells like men's cologne?​
zmey [24]

Answer:

It smells soooo good, I love it, but sadly i am not allowed to get it XD

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i
tatyana61 [14]
Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.
4 0
3 years ago
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