Respuesta :
Answer: 5 Months
Step-by-step explanation:
$450 + $40x = $975-$45x-$20x (combine like terms)
450 + 40x = 975 - 65x (perform inverse operations to get only the variable on one side, what is done to one side must be done to the other)
450 + 40x + 65x = 975 - 65x + 65x
450 - 450 + 105x = 975 - 450
105x = 525 (divide both sides by 105)
x=5
Algebraic equations are equations that have unknown variables in them
Edy and Juan will have the same amount of money in their accounts after 21 months.
Let the number of months deposits is made into their account be represented as: m
Edy has $450 in her savings account. She deposits $40 each month.
The algebraic equation for Edy =
$450 + $40 x m
= 450 + 40m .........Equation 1
Juan has $975 in his checking account. He writes a check for $45 each month for his cell phone bill. He also writes a check for $20 each month for his water bill.
The algebraic equation for Juan is given as:
$975 + ($45 + $20) x m
975 + 65m ----------Equation 2
For Edy and Juan to have the same amount of money in their accounts,
We equate the equations to each other
Equation 1 = Equation 2
450 + 40m = 975 + 65m
Collect like terms
65m - 40m = 975 - 450
25m = 525
Divide both sides by 25
25m/25 = 525/25
m = 525/25
m = 21
Therefore, Edy and Juan will have the same amount of money in their accounts after 21 months.
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