The value of x Clare will get as a wrong solution using the wrong diagram would be: x = 32.
She should replace the 2 with x in the diagram she drew, which will give the right solution as: x = 17.
Algebraic Equations
The diagram Clare drew to match the algebraic equation, 2x + 16 = 50, is shown in the diagram attached below.
The diagram is however incorrect. The value of x she will get using the diagram would be:
2 + x + 16 = 50
Add like terms
x + 18 = 50
Subtract 18 from each side
x = 50 - 18
x = 32
To fix the diagram, she should remove 2 and replace it with x. Thus, the new value of x would be:
2x + 16 = 50
2x = 50 - 16
2x = 34
x = 17
In summary, the value of x Clare will get as a wrong solution using the wrong diagram would be: x = 32.
She should replace the 2 with x in the diagram she drew, which will give the right solution as: x = 17.
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