The sum of two numbers is 6. The result when the greater number is decreased by twice the lesser...
Question:
The sum of two numbers is {eq}6 {/eq}. The result when the greater number is decreased by twice the lesser is {eq}9 {/eq}. Let {eq}x {/eq} be the greater number and {eq}y {/eq} be the lesser number.
Find the numbers.
Substitution Method
In this scenario, we will write two equations with two unknown terms {eq}x {/eq} and {eq}y {/eq} , where {eq}x {/eq} is the larger term and {eq}y {/eq} is the smaller term, then use the substitution method to find the their values.
Answer and Explanation: 1
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View this answer{eq}\text{Given:}\\ \bullet \text{The first equation, as described in the first sentence of the problem: } x + y = 6\\ \bullet \text{The second...
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Solving a System of Equations with Two Unknowns
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Chapter 8 / Lesson 8
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When there are two unknowns presented in a mathematical problem, the system of equations model can be used to solve for both. Through practice, learn how to use the substitution and elimination practices to solve systems of equations for two unknown variables.
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