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Rus_ich [418]
3 years ago
15

How do you solve -3y+12=-48

Mathematics
2 answers:
svet-max [94.6K]3 years ago
5 0

Answer:

20

Step-by-step explanation:

-3y+12=-48 1) Subtract 12 from both sides

1) -3y+12=-48

-12 -12

2) <u>-3y</u>=-<u>60</u> 2) Divide both sides by -3

-3 -3

3) y=20

Dahasolnce [82]3 years ago
4 0
-3y+12=-48
Move 12 to the other side of the equation by subtracting and cancelling out 12
-3y=-36
Then divide by -3 to both sides to get Y by itself
Y=12
A Negative multiplied by a negative equals a positive.
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We need to find the base x in the following equation:

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First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

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Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

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197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

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A             2                            600
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