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Wewaii [24]
3 years ago
12

Solve the system of equations by elimination. 2x+8y=10 -4x-9y=-13 x = y =

Mathematics
1 answer:
Reptile [31]3 years ago
8 0
So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
<u>-4x-9y=-13   +
</u>0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1


x=1
y=1
<u />
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const2013 [10]
R=7s/3+k/3

Hope this helps!
5 0
3 years ago
Rearrange w= 3(2a + b) - 4 to make a the subject
Angelina_Jolie [31]

Answer:

\boxed{a =  \frac{w}{ 6}  -  \frac{b}{2}  +  \frac{2}{3} }

Step-by-step explanation:

Solve  \: for \:  a:  \\  =  > w=3(2a+b)-4  \\  \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w:  \\  =  > 3(2a+b) - 4=w  \\  \\ Expand \:  out \:  terms \:  of  \: the  \: left  \: hand \:  side:  \\  =  > (3 \times 2a) + (3 \times b) - 4 = w \\  =  > 6a+3b - 4=w  \\  \\ Subtract  \: 3b  - 4 \:  from  \: both \:  sides:  \\  =  >   6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\   =  > 6a = w - 3b + 4 \\  \\ Divide  \: both  \: sides \:  by  \: 6: \\  =  >  \frac{ \cancel{6}a}{ \cancel{6}}  =  \frac{w - 3b + 4}{6}  \\   =  > a =  \frac{w}{6}  -  \frac{3b}{6}  +  \frac{4}{6}  \\  =  > a =  \frac{w}{ 6}  -  \frac{b}{2}  +  \frac{2}{3}

8 0
3 years ago
Find the value of x 7x-8=8x
sammy [17]
Calculate like terms:
7x-8=8x
7x-8x=8
-x=8
-x/-1=8/-1
x=-8



6 0
2 years ago
Ms. Hamm bought a new car for $37,500. It is said that her car depreciates at a rate of 7% each year
Alona [7]

Answer:

This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.

<h3><u>Step-by-step explanation:</u></h3>

<em>Here is how you can solve this problem:</em>

  • Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.

  • 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.

Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.

  • 375 x 7 = 2625.

  • Subtract 2625 from 37,500.

  • You will get $34,875.

Let's say that the next year, her car value goes down by 7% again.

THIS IS THE IMPORTANT PART:

<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>

<em>Hope this helps! :) </em>

6 0
2 years ago
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bo
Furkat [3]

Answer: B

Step-by-step explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes

270/6 = 45 bottles per minutes

The rate for 10 machines running at the same constant rate would be

10 × 45 = 450 bottles per minutes.

If the 10 machines produce 450 bottles per minutes, then,

In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles

4 0
2 years ago
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