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2 years ago

After solving the system x+2y=10 and x-2y=2. What is the sum of x+y equal to?

Mathematics

2 answers:

ale4655 [162]2 years ago

6 0

Answer:

6 + 2 = 8

Step-by-step explanation:

$x + 2y = 10 \\ + \\ x - 2y = 2 \\ = \\ 2x = 12 \\ x = 6 \\ 6 + 2y = 10 \\ 2y = 4 \\ y = 2 \\ x + y = 6 + 2 = 8$

Masja [62]2 years ago

5 0

Answer:

The sum of x and y is 8.

Step-by-step explanation:

x+2y=10

x-2y=2

------------

2x = 12, so x = 6. Substituting 6 for x in the 2nd equation, we get:

6 - 2y = 2, or

4 = 2y, or y = 2. The solution is therefore (6, 2).

The sum of x and y is 6 + 2 = 8 (answer)

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2 years ago

Is (4, 7) a solution to the system of equations? Explain your answer.

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3 years ago

Find the value of the variable such that: the value of 5−a is 20 greater than the value of 6a−1

vovangra [49]

Answer:

-2

Step-by-step explanation:

(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1

5 = 7a +19 . . . . . . . . . . . . . add a, collect terms

-14 = 7a . . . . . . . . . . . . . . . subtract 19

-2 = a . . . . . . . . . . . . . . . . divide by 7

The value of the variable is -2.

_____

<u>Check</u>

5 - (-2) = 7

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3 years ago

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu

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Answer:

$\frac{^3C_1\times ^4C_1}{^{12}C_2}$

Step-by-step explanation:

Given,

Art electives = 3,

History electives = 4,

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Total number of electives = 3 + 4 + 5 = 12,

Since, if a student chooses an art elective and a history elective,

So, the total combination of choosing an art elective and a history elective = $^3C_1\times ^4C_1$

Also, the total combination of choosing any 2 subjects out of 12 subjects = $^{12}C_2$

Hence, the probability that a student chooses an art elective and a history elective = $\frac{\text{Total combination of choosing an art elective and a history}}{\text{ Total combination of choosing any 2 subjects}}$

$=\frac{^3C_1\times ^4C_1}{^{12}C_2}$

Which is the required expression.

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3 years ago

Read 2 more answers