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Use the elimination method to solve the system of equations write your answer as ordered pair

Use the elimination method to solve the system of equations write your answer as ordered-example-1
User Danieltalsky
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1 Answer

21 votes
21 votes

Solution:

Given the system of equations below;


\begin{gathered} 4x+6y=24...(1) \\ 4x-y=10...(2) \end{gathered}

Applying the elimination method

Eliminating the variable x by subtracting equation (2) from (1)


\begin{gathered} 4x+6y-(4x-y)=24-10 \\ 4x+6y-4x+y=14 \\ Collect\text{ like terms} \\ 4x-4x+6y+y=14 \\ 7y=14 \end{gathered}

Divide both sides by 7


\begin{gathered} (7y)/(7)=(14)/(7) \\ y=2 \end{gathered}

Substituting 2 for y into equation (2) to find the value of x


\begin{gathered} 4x-y=10 \\ 4x-2=10 \\ Collect\text{ like terms} \\ 4x=10+2 \\ 4x=12 \\ Divide\text{ both sides by 4} \\ (4x)/(4)=(12)/(4) \\ x=3 \end{gathered}

The solution to the system of equations in ordered pair is


(3,2)

To check the solution

User Ebdr
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