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Answer:
The dryer costs $325.
Step-by-step explanation:
Let w represent the cost of the washer and d represent the cost of the dryer.
They cost $587 combined. In other words:
[tex]w+d=587[/tex]
The washer costs $63 less than the dryer. Therefore:
[tex]w=d-63[/tex]
Thus, we have the system of equations:
[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]
We can solve it using substitution. Substitute the second equation into the first. Hence:
[tex](d-63)+d=587[/tex]
Combine like terms:
[tex]2d-63=587[/tex]
Add 63 to both sides:
[tex]2d=650[/tex]
And divide both sides by two. Hence:
[tex]d=325[/tex]
The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:
[tex]w=(325)-63=262[/tex]
The washer costs $262.