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Kamila [148]
3 years ago
9

Solve the equations below. With explanations please.

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

Step-by-step explanation:

y=-2x-4

y=5x+5

------------

-2x-4=5x+5

-2x-5x-4=5

-7x-4=5

-7x=5+4

-7x=9

x=9/-7

x=-9/7

y=5(-9/7)+5

y=-45/7+35/7

y=-10/7

Answer: x=-9/7, y=-10/7. (-9/7, -10/7).

----------------------------------------------------

-3x+y=8

2y=6x-10

----------------

6x-2y=10

-3x+y=8

-------------

y=8-(-3x)=8+3x

6x-2(8+3x)=10

6x-16-6x=10

-16=10

no solution

Answer: No Solution

--------------------------------

2y=4(x+3)

y-2x=6

--------------

y=4x+12

y=2x+6

--------------

4x+12=2x+6

4x-2x+12=6

2x+12=6

2x=6-12

2x=-6

x=-6/2

x=-3

y=2(-3)+6=-6+6=0

Answer: x=-3, y=0. (-3, 0).

-------------------------------------

x+2y=4

4x-2y=16

---------------

5x=20

x=20/5

x=4

4+2y=4

2y=4-4

2y=0

y=0/2

y=0

Answer: x=4, y=0. (4, 0).

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For every girl taking classes at the martial arts school, there are 3 boys who are taking classes at the school. if there are 23
just olya [345]
G = number of girls taking the martial arts classes
and
B = number of boys taking the martial arts classes

We know that for every girl, there are 3 boys.  Therefore, the proportion of girls to boys is:
\frac{G}{B} = \frac{1}{3}

When you simplify this ratio by cross-multiplying you get: 
3G = B
When you think about this, it makes sense because you know that there are 3 times as many boys as there are girls.  Therefore you would need to multiply the number of girls by 3 to equal the number of boys in the class.

We know that there are 236 total people in the class, Therefore we know that:
G + B = 236

You can replace the B in the equation above with your simplified ratio to solve, since both contain the variable B:

G + B = 236
is the same as
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So there are 59 girls in the class, but you need to figure out the number of boys, not girls.  Therefore, subtract 59 from 236 to get to the final answer:

G + B = 236
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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