Joshua deposited
(a). $12.85 in coins
(b). $77.14 in checks
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
Joshua deposited checks worth six times the value of the coins he deposited.
Let Joshua deposit the value of coins be x. Then the value of x will be 6x
There is total deposit of $90.
⇒ x + 6x = 90
⇒ 7x = 90
⇒ [tex]x = \frac{90}{7}[/tex] =$12.85
Therefore,
[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14
Hence, he deposit total $12.85 in coins and $77.14 in checks.
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