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HACTEHA [7]
3 years ago
13

Use the elimination method to solve the following system of equations.

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
The answer 
<span>2x - y + z = -3          (1)
2x + 2y + 3z = 2       (2)
3x - 3y - z = -4          (3)

</span> (1) - (2)              3y +2z =5
 3 .(1) - 2.(2)       3y+5z = -1<span>

let 's solve 
</span>3y +2z =5
3y+5z = -1<span>
z= - 2, and 3y =5+4=9,  y=3, so  </span>2x - 3 -2 = -3 implies x= 1
<span>
finally x=1, y=3 and z= -2
proof 
</span>2x - y + z = -3??     2.1 - 3 -2 = -3  (true)<span>

</span>
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What is the first term, common difference, and 16th term
strojnjashka [21]

Answer:

The 1st term is -67

Step-by-step explanation:

I. When Sn = \frac{n}{2}(a_{1} +  a_{n})

   If  Sn = 124, n = 8 and a_{n} = 98

                124 = 8/2(a + 98)

                124 = 4(a + 98)

                124 = 4a + 392

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Hope that help :D

7 0
2 years ago
Anyone wanna attempt to help me
ArbitrLikvidat [17]

Answer:

t=57, u=31, v=92

Step-by-step explanation:

So we know that 180= 5x+2+2x+9+8x+4 which simplifies to 180 = 15x+15. Subtract 15 from both sides to get 165=15x and then divide by 15 to get 11=x. NOw we can plug this into the three angles as x so t = 5*11+2, t=55+2, t=57, then u = 2*11+9, u=22+9, u=31, and lastly v=8*11+4, v= 88+4, and v=92

7 0
2 years ago
Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.
Basile [38]
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>

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2 years ago
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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
tatiyna

Answer:

y+3 = -6(x+9)

Step-by-step explanation:

m(x-x1)= (y-y1)

-6[x-(-9)] = [y-(-3)]

-6(x+9) = y+3

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3 years ago
3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]}<br><br> A.657<br> B.2433<br> C. -843
Liula [17]

Answer:

657

Step-by-step explanation:

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