The obtained two numbers by substitution method are 5 and 12.
<h3>What is substitution method?</h3>
The algebraic method for solving simultaneous linear equations is the substitution method.
- The value of one variable through one equation is substituted in the second equation, as the name implies.
- To verify an equation system by substitution, enter your x and y values into the initial equations.
- Your answer is accurate if both simplification expressions are true.
Let the first number be 'x'.
Let the second number be 'y'
From the given condition that second number is 3 times 1 less than the first number.
That is;
y = 3(x - 1)
Now the sum of both number are given as 17.
x + y = 17.
Use substitution method, and put the value of y in the total sum.
x + y = 17.
x + 3(x - 1) = 17
Simplify the given equation;
x + 3x - 3 = 17
4x = 17 + 3
4x = 20
x = 5 (first number)
Put the value of x in y to find the value.
y = 3(x - 1)
y = 3(5 - 1)
y = 12 (second number)
Therefore, the values of two numbers are 5 and 12.
To know more about the substitution method, here
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