When solving the given system of equations by elimination with addition, which value of k will eliminate the x-terms?2x−y=19k(x+3y)=k(10)
Question
When solving the given system of equations by elimination with addition, which value of k will eliminate the x-terms?2x−y=19k(x+3y)=k(10)
Solution
To eliminate the x-terms by addition, we need to make the coefficients of x in both equations equal so that they cancel out when we add the equations.
The first equation has a coefficient of 2 for x. The second equation has a coefficient of k for x.
So, we need to find the value of k that makes these coefficients equal.
Setting 2 equal to k, we find that k = 2.
So, the value of k that will eliminate the x-terms when solving the system of equations by elimination with addition is 2.
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