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Novay_Z [31]
3 years ago
6

A system of two equations is shown.

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

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Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
out of

\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
\frac{3}{4}
out of the right hand side to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



This further gives us,


\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


5 0
3 years ago
Read 2 more answers
Write 15 1/4% as a fraction in simplest form
Helga [31]

Rewrite 15 1/4% as 15.25%.   To obtain the desired fraction, divide this 15.25% by 100%:

0.1525

This could be reduced to 61/400, which was obtained by first writing 0.1525 as 1525/10000.

3 0
3 years ago
Matilda has 19 nickels, 43 dimes, 24 quarters, and 14 fifty-cent pieces. How
Kobotan [32]

Answer:

1125 cent or 11.25

Step-by-step explanation:

19*5=95 43*10=430

7 0
3 years ago
It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is th
KIM [24]

Answer:

The expected number of adult workers with a high school diploma is 4 out of 10

Step-by-step explanation:

4 out of 10 = 40%

3 0
3 years ago
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
skelet666 [1.2K]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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