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pantera1 [17]
3 years ago
9

Solve for w 5w+9z=2z+3w​

Mathematics
1 answer:
grin007 [14]3 years ago
8 0
5w + 9z = 2z + 3w

2w + 9z = 2z

2w = -7z

w= -7/2z or w= -3.5z
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what is the solution to the system of equations: x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10
ladessa [460]

Given equations are x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10 .

It seems you have missed to write = in the 2nd equation so i have fixed the sign and going to solve the following system of equations:

x-y-z=2 ...(i)

-x-3y-2z=4 ...(ii)

-x-2z=10 ...(iii)


solve (i) for x

x=2+y+z ...(iv)

plug (iv) into (ii)

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plug (iv) into (iii)

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-(2+y+z)-2z=10

-2-y-z-2z=10

-2-y-3z=10

-y=12+3z

y=-12-3z...(vi)


plug (vi) into (v)

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48+12z-3z=6

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Now plug value of z into (vi)

y=-12-3z=-12-3(-14/3)=-12+14=2

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plug value of y and z into (iv)

x=2+y+z=2+2-14/3=-2/3


Hence final answer is x=-2/3, y=2, z=-14/3

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Step-by-step explanation:

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