As per linear equation, the first garden had 55 raspberry bushes and the second garden had 11 raspberry bushes.
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1."
Let, the number of raspberry bushes in the second garden is 'x'.
Therefore, the number of raspberry bushes in the first garden is '5x'.
Given, after 22 raspberry bushes were transplanted from the first garden to the second one, the number of raspberry bushes in both the gardens became the same.
Therefore the linear equation is:
[tex](5x - 22) = (x + 22)\\[/tex]
⇒ [tex]5x - x = 22 + 22[/tex]
⇒ [tex]4x = 44[/tex]
⇒ [tex]x = 11[/tex]
Therefore, the second garden had 11 raspberry bushes.
The number of raspberry bushes in the first garden was
[tex]= 5(11)\\= 55[/tex]
Learn more about linear equation here: https://brainly.com/question/24515291
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