Question

Is $(12,-8)$ a solution of the system in Exercise $5 ?$

   Is $(12,-8)$ a solution of the system in Exercise $5 ?$

Precalculus

David Cohen,… 7th Edition

Chapter 11, Problem 6

Instant Answer

Solved by Expert Anurag Kumar

07/29/2020

Step 1

The system of equations is $\frac{x}{6} + \frac{y}{2} = -2$ and $\frac{x}{3} + \frac{3y}{4} = 3$. We need to check if the given point is a solution to this system. Show more…

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Is $(12,-8)$ a solution of the system in Exercise $5 ?$

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Key Concepts

Substitution and Verification

The substitution and verification process involves plugging a potential solution into each equation of the system to see if it holds true. If the candidate values satisfy every equation when substituted, then they constitute a valid solution; otherwise, they do not solve the system.

System of Equations

A system of equations is a set of multiple equations that are all simultaneously true for the same set of variable values. This concept is fundamental in algebra, as solving the system means finding the values of the variables that satisfy every equation in the system at once.

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