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Describing Solutions to Systems of Linear Equations

Describing Solutions to Systems of Linear Equations 1.1 - Solution

arrow_back Return to Describing Solutions to Systems of Linear Equations
a
The ordered pair satisfies the system if it makes a true statement in both equations. Let's substitute and into each of the equations and simplify.
One of our resulting statements, is not true. Thus, the point does not satisfy the system of equations.
b
We want to know if the ordered pair satisfies the following system of equations. We can investigate that by substituting and into both equations and simplifying the resulting equation. The ordered pair satisfies the system only if both equations then are true.
Since both statements are true the point is contained in the solution set of the system.
c
We have been asked to determine if the ordered pair is a solution to the following system of equations. Let's find out by substituting and into both equations. If both equations are true the ordered pair is a solution.
Multiply
We have found that both statements are true. Therefore, the point is a solution to the system.