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Murljashka [212]
3 years ago
15

If 3x + 5y = 42 and 9x +7y = 78, then x + y = ?

Mathematics
1 answer:
kumpel [21]3 years ago
8 0
3x+5y=42

9x+7y=78

adding above equation

12x+12y=120

x+y=10
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What and equivalent expression for 6 (5a + 9b)
Maurinko [17]

Answer:

6(5a + 9b)

30a + 45b

5 0
2 years ago
Solve the system of equations
insens350 [35]

Answer:

x = 3, y = 1 is the solution of the given system.

Step-by-step explanation:

Here, the given system of equations is:

y = -x  + 4   ...... (1)

y = x - 2     ..........  (2)

Now, to find the solution of the system, SUBSTITUTE the value of y from equation  (1) in to the equation (2). We get ,

y = x - 2   ⇒   -x  + 4  = x - 2  ( as from (1), y = -x + 4)

or,  -x -x = -2 -4

or, - 2 x = -6 ⇒   x = 6/2  = 3

or, x = 3

⇒  y = x - 2 = 3 - 2 = 1

⇒ y = 1

Hence, x = 3, y = 1 is the solution of the given system.

5 0
3 years ago
I don’t want link or down I will give Brinley’s answer to quick explanation
VashaNatasha [74]

Answer:

5 power points

Step-by-step explanation:

The graph shows the unit measurement as 5 power points for one goblin so that is the correct answer.

7 0
3 years ago
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the
Vesna [10]

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

T + U = 8

10T + U - (10U + T) = 10 + 10U + T

Required

Find the digit

Make U the subject in the first equation

U = 8 - T

Substitute 8 - T for U in the second

10T + U - (10U + T) = 10 + 10U + T

10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T

10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T

10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T

Collect Like Terms

10T + 10T - T- T + 8  -80 = 10 + 80 - 10T+ T

18T -72 = 90 - 9T

9T + 18T  = 90 + 72

27T  = 162

T = 162/27

T = 6

Recall that:

U = 8 - T

U = 8 - 6

U = 2

<em>Hence, the number is 62</em>

5 0
3 years ago
What is the square root of 105 rounded to the nearest integer
Lelechka [254]

Answer:

It is 11.

Step-by-step explanation:

10.246950766 is rounded to 11.

4 0
3 years ago
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