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NARA [144]
3 years ago
6

Solve by substitution x-y=-11 y+7=-2x

Mathematics
1 answer:
Bess [88]3 years ago
4 0

x - y = - 11   .............( 1 )

y + 7 = - 2x ...............( 2 )

from equation ( 1 )

x - y = - 11

x   = -11 + y  ...........( 3)      

putting x in equation  ( 2 )

y + 7 = - 2 x  

y  + 7 = -2 ( -11 + y )             y + 7 = 22 - 2 y                       y + 2 y =22 - 7            

3 y = 15                  y = 15 / 3

putting value of y in equation 3

x   = -11+ ( 13 /5 )                       x = -33 /3 + 15 / 3         ( l.c.m)

x  = -17 / 5                      

check      

x = -11 + y

- 17 / 5 = -11 + 13 / 5

-17 /5   = -17 / 5

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Step-by-step explanation:(4+7)-(1)

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When five is added to three more than a certain number, the result is 19. What is the number?
pshichka [43]

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11 easy

Step-by-step explanation:

5 plus the three from the three more makes 8 eight minus 19 is 11

3 0
3 years ago
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The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le
I am Lyosha [343]

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

3 0
2 years ago
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QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?
Vlad1618 [11]

Complete Question

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

C=27535.5881128

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

   C=\frac{starting salary}{CPI for 2013(index} *CPI for 2003(index)

   C=\frac{34,862}{232.957} *184

Therefore C the comparable starting salary is givrn to be

   C=27535.5881128

   C=27536 appro

8 0
3 years ago
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