Question

Pls answer the question below (Yr7Math)

Answer 1

$\huge\tt\colorbox{Green}{VERIFIED ✔}$

$\huge\tt\red{Q}\tt\pink{U}\tt\blue{E}\tt\green{S}\tt\purple{T}\tt\orange{I}\tt\orange{O}\huge\tt\red{N}$

In the diagram below the expression in each circle is the result of the sum of the two rectangles connected to it complete the diagram writing the expression in the simplified form.

$\huge\tt\red{❥}\tt\pink{A}\tt\blue{N}\tt\green{S}\tt\purple{W}\tt\orange{E}\tt\orange{R}\huge\tt\purple{᭄}$

Given:

Each circle is the result of the sum of two rectangles connected to it. To find:

The missing expression in their simplified form.

Solution:

Left side circle:

Left circle = (5x + 2y) + (x + y)

= 5x + 2y + x+y = 6x + 7y

The expression in left side circle is 6x + 7y.

Right side rectangle:

5x + 4y = (4x + 5y) + Right rectangle

Subtract 4x + 5y from both sides.

5x + 4y - (4x + 5y) = Right rectangle

5x + 4y - 4x - 5y = Right rectangle

x - y = Right rectangle

The expression in right side rectangle is X-y.

Bottom circle:

Bottom circle = (x + y) + (x - y)

= x + y + x - y

= 2x

The expression in left side circle is 2x.

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Answer 2

$left \:circle = (4x + 3y) + (2x - y)$

$distribute + 1$

$4x + 3y + 2x - y$

$6x + 2y$

$the \: right \: bottom \: rectangle :$

$(4x + 5y) - (x + 4y)$

$4x + 5y - x - 4y$

$3x + y$

$circle \: at \: the \: bottom \: middle :$

$(2x - y) + (3x + y)$

$2x - y + 3x + y$

$5x$