Mathematics, 24.08.2019 02:00 httpcindy14

Solve for the two unknowns. 3a + 4b = 12 2a + 2b = 15

Answers: 2

Show answers

Answers

Let us take the second equation first for finding the value of a
2a + 2b = 15
2a = 15- 2b
a = (15/2) - b
Now let us put the value of a found from the second equation in the first equation. We get
3a + 4b = 12
3[(15/2) - b] + 4b = 12
45/2 - 3b + 4b = 12
b = 12 - (45/2)
   = (24 - 45)/2
   = - 21/2
Now putting the value of b in the second equation, we get
2a + 2b = 15
2a + [2 * (- 21/2)] = 15
2a - 21 = 15
2a = 15 + 21
2a = 36
a = 36/2
   = 18
So from the above solutions we come to know that the value of a is 18 and the value of b is - 21/2(minus twenty one divided by 2).

Answer from: theyfallfora

2a+2b=15
⇒ 2(2a+2b)= 2*15
⇒ 4a+ 4b= 30 (1)

3a+4b= 12 (2)

Take (1)-(2), we have:
(4a-3a)+ (4b-4b)= 30-12
⇒ a= 18

2b= 15- 2a
⇒ 2b= 15-2*18
⇒ 2b= 15- 36
⇒ 2b= -21
⇒ b= -21/2

Final a= 18, b= -21/2~

Answer from: Quest

its electric no smoke

step-by-step explanation:

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Match each equation with the operation you can use to solve for the variable. 1 subtract 10 2 divide by 10 3add 18 4add 10 5 subtact 18 6multiply by 5. 7multiply by 10. a 5 = 10p b p + 10 = 18 c p + 18 = 5 d 5p = 10

Answers: 3

Answer

Mathematics, 21.06.2019 17:00

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

One number is 4 less than 3 times a second number. if 3 more than two times the first number is decreased by 2 times the second number, the result is 11. use the substitution method. what is the first number?

Answers: 1

Answer

You know the right answer?

Solve for the two unknowns. 3a + 4b = 12 2a + 2b = 15...

Questions