2,000(two thousands)+ 9(nine ones)=2,009. But, - 3(three ones)= 2,006
The answer to the system of equations is x = 3, y = -2 and z = 5.
In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.
-x + 2y + 2z = 3
6x + 2y - 2z = 4
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5x + 4y = 7
Then we can add equation 2 with equation 3.
3x + y - z = 2
2x + y + z = 9
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5x + 2y = 11
Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.
5x + 4y = 7
-5x - 2y = -11
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2y = -4
And then we can solve for y.
2y = -4
y = -2
With that answer we can go back to any equation with just y and x and solve for x.
5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3
Now we can use x and y in any equation to find z.
2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
Answer:
100 silver coins and 175 bronze
Step-by-step explanation:
let x be the number of silver coins and y the number of bronze coins.
Worth of these coins together = 6x/(5)+0.08/(10)y
=1.2x+0.008y
Weight of one silver coin = 125/5 = 25 gm
and one bronze coin = 500/10 = 50 gms.
Weight of these coins together = 25x + 50y
Equate these two items i.e. value and weight to actuals given.
i.e. 1.2x+0.08y = 134 and ... i
25x+50y = 11 kg 250 gm = 11250 gms. ... ii
Divide the second equation by 25
x+2y = 450 ... iii
Multiply I equation by 25
30x+2y =3350 ... iv
iii-iv gives -29x = -2900 or
x =100
Substitute in x+2y = 450
2y = 350 or y =175
Since we have a 37-gon here, the sum of the interior angles will be:
<span>(37 - 2) * 180 </span>
<span>= 6300 degrees</span>
