Wang Yong paid $170 each month. Computed using the linear equation in one variable 12x = 2040, where x is the monthly payment.
Wang Yong took 4 years and 2 months to pay back his entire debt.
What are linear equations in on variable?
Linear equations are the relation between two algebraic expressions, not involving more than one variable.
The degree of the equation, that is, the highest power of the variable is also 1.
How to solve the question?
In the question, we are informed that Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460.
We assume the monthly fixed amount to be $x.
Thus, the amount paid in a year = $12x.
The amount he owed to the bank = $8500.
Remaining debt after one year = $6460.
Thus, the amount paid in a year = $8500 - $6460 = $2040.
Thus, we get a linear equation in one variable:
12x = 2040.
To solve this linear equation in one variable we divide the equation by 12, to get:
12x/12 = 2040/12,
or, x = 170.
Thus, Wang Yong paid $170 each month. Computed using the linear equation in one variable 12x = 2040, where x is the monthly payment.
We are also asked about the time that Wang Yong took to pay back the entire debt.
To calculate the time, we divide the total debt amount by the monthly payment.
Thus, the total time = $8500/$170 = 50 months or 4 years and 2 months.
Thus, Wang Yong took 4 years and 2 months to pay back his entire debt.
Learn more about the linear equations in one variable at
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