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marishachu [46]
3 years ago
10

Pls instruct me on this.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

For x = ay - bz:

Add bz to both sides:

ay = x + bz

Divide a on both sides:

y = (x + bz)/a

For xy + yz = 10:

Distribute y from the left side:

y * (x + z) = 10

Divide by x + z:

y = 10/(x + z)

For (ab - ac)/z = x:

Multiply by z on both sides:

ab - ac = xz

Take out a from the left side:

a * (b - c) = xz

Divide by b - c on both sides:

a = xz/(b - c)

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Answer: The winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.



Step-by-step explanation:

Let's check all the options

4(x-5)=35 is not equivalent to 4x=40

\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55

8(x-7)=35 is not equivalent to 8x=28


\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91

2(x-6)=-35 is equivalent to 2x=-23


\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23

9(x-6)=-35 is not equivalent to 9x=-29

\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5

Thus, the winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.

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