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dsp73
3 years ago
6

In the system of linear equations below, a and b are constants. the solution to the system is (5,1)

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

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Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

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Express 4.16×(10)^3 in standard form
GREYUIT [131]
Since it is to the third, we move the decimal point three places over to the right:

4.16 ---> 4,160

What ever the power, move it over that amount. 

If the power is negative,move it that amount to the left, making it smaller.

Hope this helps!
8 0
3 years ago
Identify the graphed linear equation.
Alexxandr [17]

Answer:

D) y=5x+5

Step-by-step explanation:

the y-intercept is 5. The slope is rise over run which 5/1 which is 5.

6 0
4 years ago
Read 2 more answers
Solve the proportion<br>16/6 = 3s/9
iris [78.8K]

Answer:

8

Step-by-step explanation:

So you can start by simplifying each fraction:

16/6 divide by 2/2 = 8/3

3s/9 divided by 3/3 = s/3

Then, since 8/3 = s/3 you just have s = 8.

4 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
2a - 3b = -11<br> a + 3b = 8
dlinn [17]

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

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

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

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

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

8 0
3 years ago
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