To have infinite solutions, the equation must be true for all values of x. This means that the coefficients of x on both sides of the equation must be the same.
On the left side of the equation:
2(24x+7) = 2 * 24x + 2 * 7 = 48x + 14
On the right side of the equation:
39x + x + 14 = 40x + 14
For the equation to have infinite solutions, the coefficients of x on both sides must be the same. So, we need to find the missing coefficient of x that will make them equal.
48x + 14 = 40x + 14
By subtracting 14 from both sides, we get:
48x = 40x
To make the coefficients of x on both sides equal, we need to have 48 = 40. However, this is not possible since 48 is not equal to 40.
Therefore, there is no missing coefficient of x that would make this equation have infinite solutions.
Determine the missing coefficient of x that would make this equation have infinite solutions. [Click Here for Help Video](10 points)
2(24x+7)=39x+ x+14
1 answer