Determine whether the equation below has a one solution, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
3, left bracket, x, plus, 6, right bracket, equals, 3, x, plus, 18
3(x+6)=
3x+18
The equation has
infinite solutions
.
A value of xx that makes the equation true is
, which when substituted into the equation and simplified makes the equation turn into
equals=
.
Another value of xx that makes the equation true is
, which when substituted into the equation and simplified makes the equation turn into
equals=
.
There are an infinite number of solutions for this equation.
One value of x that makes the equation true is x = 0, which when substituted into the equation and simplified makes the equation turn into
3(0+6) = 3(0) + 18.
Another value of x that makes the equation true is x = -6, which when substituted into the equation and simplified makes the equation turn into
3(-6+6) = 3(-6) + 18.