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MakcuM [25]
3 years ago
15

X is six more than four times the value of y.

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0
Therefore
(4y+6) +y = 46

We can combine the like terms:
5y + 6 = 46

Subtract 6 on both sides:

5y+6-6=46-6

Therefore 5y =40

Divide by 5 on both sides

5y/5 = 40/5

Therefore

y= 8
We found y but to find the value x we use y.

X= 4y+6

Therefore
x= (4*8)+ 6

Therefore

x= 32 + 6

x= 38.
Vilka [71]3 years ago
3 0
X + y = 46
x is six more than four times the value of y
so replace x with that
6+4y + y = 46
add
4y+y=5y
so
6+5y=46
subtract 6 from both sides to remove the 6 in the left.
5y = 40
Divide both sides by 5, the coefficient of y. 5y/5=y and 40/5=8
\text{\boxed{y\=8}}
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Solve the following system:
{-12 x = -11 y - 75 | (equation 1)
{-5 x = -11 y - 89 | (equation 2)
Express the system in standard form:
{-(12 x) + 11 y = -75 | (equation 1)
{-(5 x) + 11 y = -89 | (equation 2)
Subtract 5/12 × (equation 1) from equation 2:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+(77 y)/12 = (-231)/4 | (equation 2)
Multiply equation 2 by 12/77:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+y = -9 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{-(12 x)+0 y = 24 | (equation 1)
{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:
{x+0 y = -2 | (equation 1)
{0 x+y = -9 | (equation 2)
Collect results:
Answer:  {x = -2                {y = -9

please note that the parentheses "{" should span over both equations but the editor doesn't allow that so I should it on both line, See attached example.










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Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o
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Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

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The nth term of an arithmetic sequence is:

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