The two numbers are 80 and 8.
What is linear equation in two variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
What is substitution method ?
The substitution method can be defined as a way to solve a linear system algebraically. This method works by substituting one y-value with the other.
Let the two numbers be x and y.
According to the question.
x = 10y
And,
x - 10y = 72
Now, We have a linear equation in two variables. So, for finding the values of x and y we solve the above two equations by substitution method.
Substitute the value of x = 10y in x - y = 72
[tex]\implies 10y -y = 72 \\\implies 9y = 72\\\implies y = \frac{72}{9} \\\implies y = 8[/tex]
Therefore,
x = 10 × 8 = 80
Hence, the two numbers are 80 and 8.
Find out the more information about linear equation in two variable and substitution method here:
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