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Setler [38]
2 years ago
5

Leila puts an integer into the "In" box of each machine.

Mathematics
1 answer:
kykrilka [37]2 years ago
4 0

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

\mathbf{y = 2(5x + 3) - 24}

The equation represented on machine B is:

\mathbf{y = 4(2(x + 11) - 7)}

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

\mathbf{y = y}

So, we have:

\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}

Open brackets

\mathbf{10x + 6 - 24 = 8x + 88 - 28}

\mathbf{10x - 18 = 8x + 60}

Collect like terms

\mathbf{10x - 8x = 18 + 60}

\mathbf{2x = 78 }

Divide both sides by 2

\mathbf{x = 39 }

Substitute 39 for x in \mathbf{y = 2(5x + 3) - 24}

\mathbf{y = 2 \times (5 \times 39 + 3) - 24}

\mathbf{y = 372}

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

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