Solve each exercise and enter your answer on the grid provided.
One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number, the result is 11. Use the substitution method. What is the first number?
To find:The first number of the two numbers.
Answer to Problem 3STP
The first number is 8.
Explanation of Solution
Given information:One number is 4 less than 3 times the second number. If 3 more than 2 times the first number is decreased by 2 times the second number , the result is 11.
Formula used: Use substitution method to solve the system of equations.
Calculation:
Let the one number is x and the second number is y .
The equation for one number is 4 less than 3 times the second number
The equation for 3 more than 2 times first number is decreased by 2 times second number is 11
Substitute equation (1) into equation (2) for ‘ x’ .
Distribute to get rid the parentheses
Combine like terms,
Add both sides 5
Divide both sides by 4.
Substitute y as 4 into the equation (1)
Simplify it
Hence first number is 8.
Chapter 6 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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