document.write( "Question 119592: Can you help me solve this equation?\r
\n" ); document.write( "\n" ); document.write( "The equation below is really a family of equations, because for each value of k we get a different equation with the unknown x. The letter k is called a parameter for this family. What value should we pick for k to make the given value of x a solution of the resulting equation? (If k can have any value, enter ANY.)
\n" ); document.write( "4x + 6k - 27 = kx - k + 1
\n" ); document.write( "If x = 5, k =
\n" ); document.write( "If x = -3, k =
\n" ); document.write( "If x = 7, k =
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #87721 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
he equation below is really a family of equations, because for each value of k we get a different equation with the unknown x. The letter k is called a parameter for this family. What value should we pick for k to make the given value of x a solution of the resulting equation? (If k can have any value, enter ANY.)
\n" ); document.write( ":
\n" ); document.write( "4x + 6k - 27 = kx - k + 1
\n" ); document.write( ":
\n" ); document.write( "Simplify equation and solve for k
\n" ); document.write( "4x - 27 - 1 = kx - k - 6k
\n" ); document.write( "4x - 28 = k(x - 1 - 6)
\n" ); document.write( "4x - 28 = k(x-7)
\n" ); document.write( "k = $\"%28%284x-28%29%29%2F%28%28x-7%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "If x = 5, k =
\n" ); document.write( "Substitute 5 for x:
\n" ); document.write( "k = $\"%28%284%285%29-28%29%29%2F%28%285-7%29%29\"$
\n" ); document.write( "k = $\"%28%2820-28%29%29%2F%28%28-2%29%29\"$
\n" ); document.write( "k = $\"%28-8%29%2F%28-2%29\"$
\n" ); document.write( "k = +4
\n" ); document.write( ":
\n" ); document.write( "If x = -3, k =
\n" ); document.write( "Substitute -3 for x
\n" ); document.write( "k = $\"%28%284%28-3%29-28%29%29%2F%28%28-3-7%29%29\"$
\n" ); document.write( "k = $\"%28%28-12-28%29%29%2F%28%28-10%29%29\"$
\n" ); document.write( "k = $\"%28%28-40%29%29%2F%28%28-10%29%29\"$
\n" ); document.write( "k = +4
\n" ); document.write( ":
\n" ); document.write( "We can say that x can be any value for k = 4
\n" ); document.write( ":
\n" ); document.write( "x = 7 will not work in my k= equation (division by 0) however is OK in the original equation.
\n" ); document.write( "If x = 7, k = \n" ); document.write( "

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