Jason has $2 worth of dimes and quarters. He has 13 more dimes than quarters. The Number of dimes = 15 and Number of quarters = 2.
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The total money = $2 = 200 cents
Types of coins are dimes and quarters
Number of dimes are 13 more than quarters
let number of dimes be x and quarters be y
so our equation
[tex]10x + 25y = 200\\x = (y+13)\\10(y+13) +25y= 200\\10y + 130 +25y = 200\\\\35y + 130 = 200\\y = 70/35 = 2[/tex]
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