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Evgesh-ka [11]
3 years ago
11

Find the solution of the system of equations.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

x = -5

y = -1

Step-by-step explanation:

here's the solution :-

  • subtracting equation 1 from equation 2 we get,

=》-8x - 4y + 8x - 6y = 44 - 34

=》-10y = 10

=》y = -1

plugging the value of y in equation 2 we get :-

=》-8x - 4y = 44

=》-8x - (4 × -1) = 44

=》-8x + 4 = 44

=》x = 40 ÷ -8

=》x = -5

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What percent of 98is14
Ivanshal [37]

Answer:

14.29

Step-by-step explanation:

14:98*100 =

(14*100):98 =

1400:98 = 14.29

4 0
3 years ago
How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest
Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

I=\frac{P\times r\times t}{100}

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

I=\frac{P\times r\times t}{100}

t=\frac{I\times 100}{P\times r}

  =\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days

Thus, it will take 146 days to earn an interest of $80.

4 0
2 years ago
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are equivalent.
  • Two lines are perpendicular if their slopes are negative reciprocals of each other.
  • And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

\displaystyle 3x+4y=12

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

4y=-3x+12

And divide both sides by four:

\displaystyle y=-\frac{3}{4}x+3

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

-6x-8y=24

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

-8y=6x+24

And divide both sides by negative eight:

\displaystyle y=-\frac{3}{4}x-3

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0
2 years ago
8n-(2n-3)=12 solve for n
Feliz [49]
8n-(2n-3)=12
8n-2n+3=12
6n=12-3
6n=9
n=9/6=3/2
7 0
3 years ago
Read 2 more answers
Emily and Jasmine had the same number of stamps. After Emily gave 42 stamps to Jasmine, Jasmine had twice as many stamps as Emil
kirza4 [7]
There are 84 because if they have the same amount and when you add 42 it's doubled 42+42=84 84/2=42 so she will end up with 84
3 0
3 years ago
Read 2 more answers
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