The numbers are 7 and 10 if the sum of two positive integers is 17 and the smaller integer is subtracted from five times the larger, the result is 43.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Set up a linear system and solve. The sum of two positive integers is 17.
When the smaller integer is subtracted from five times the larger, the result is 43.
Let the numbers x and y:
x + y = 17
5y - x = 43 ( let x < y)
Solving the above two linear equations in two variables:
x = 17 - y
5y - (17 - y) = 43
5y - 17 + y = 43
6y = 60
y = 10
x = 17 - 10 = 7
Thus, the numbers are 7 and 10 if the sum of two positive integers is 17 and the smaller integer is subtracted from five times the larger, the result is 43.
Learn more about the linear equation here:
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