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4 years ago

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

1 answer:

algol134 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~

You might be interested in

1) 2/9 + 5/9 =

s344n2d4d5 [400]

Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

4 0

3 years ago

Jack took 90 cookies to his class of 19 students (including Jack). If everyone had four cookies, how many were left over? QUICK

QveST [7]

Answer:

Step-by-step explanation:

you do 90 divided by 20 and get 4.5 so you take away 40 and leftover with 10

3 0

3 years ago

Read 2 more answers

Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree wit

zysi [14]

Answer:

The correct answer is 5.8

Step-by-step explanation:

Janae did not read the minus/negative sign correctly. She subtracted instead of added, meaning she did not isolate her c.

3.67=c-2.13

+2.13 +2.13

5.8=c

3 0

3 years ago

Multiply.<br><br> (x−5)(3x+6)<br><br> Express the answer in standard form.

sergey [27]

Answer:

$3x^{2} -9x-30$

Step-by-step explanation:

(x - 5)(3x + 6)

$3x^{2} +6x-15x-30\\3x^{2} -9x-30$

6 0

3 years ago

Read 2 more answers

A 10 bit string is to be randomly picked from all possible 10 bit strings. What is the probability that you picked a string with

allochka39001 [22]

Answer: 0.9990

Step-by-step explanation:

Given : The number of bits in a string = 10

The value taken by a bit is either 0 or 1.

Therefore, the probability that the bit is zero = $\dfrac{1}{2}=0.5$

Binomial probability distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of success and p is the probability of getting success in each trial.

Now, the probability that you picked a string with at least one zero is given by :-

$P(x\geq1)=1-P(z$

Hence, the probability that you picked a string with at least one zero = 0.9990

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3 years ago