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Troyanec [42]
3 years ago
9

Solve the system of equations given by 5x - 2y = -6 and 15x - 6y = 6

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

8x - 3y = 12 _______( 1 )

5x = 2y + 7 _______( 2 )

On further solving ( 2 ), we get

5x - 2y = 7 _______( 3 )

Multiply ( 1 ) by 2

16x - 6y = 24 _______( 4 )

Multiply ( 3 ) by 3

15x - 6y = 21 _________( 5 )

Subtract ( 4 ) and ( 5 )

( 16x - 6y ) - ( 15x - 6y ) = 24 - 21

16x - 6y - 15x + 6y = 3

Put this in ( 2 )

5 ( 3 ) = 2y + 7

15 = 2y + 7

2y = 15 - 7

2y = 8

y = 8 / 2

Step-by-step explanation:

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3 years ago
I relly need help please please please
madam [21]

Answer:

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7 0
3 years ago
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​
Alex

Answer:

\huge\boxed{18,475}

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}

We have

a_1=2\\d=17-2=32-12=47-32=15\\n=50

Substitute:

S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475

3 0
3 years ago
Chris bought "c" tickets to a movie for $9 each. Michael bought " m" tickets to another movie for $10 each. Write an expression
Fynjy0 [20]

<u>Answer:</u>

9c + 10 (see below)

<u>Step-by-step explanation:</u>

To find how much Chris spent on tickets, you can write an expression to represent the situation:

$9c

You can do this to find how much Michael spent as well:

$10m

To find how much Chris and Michael spent combined, add their two costs:

9c + 10

5 0
3 years ago
Is the set of positive intergers the same as nonnegative integers?
algol13
No there totally differnt 
8 0
3 years ago
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