Complete the equation so that it has infinite solutions. (1 point)
4x + 10 = __ x+ __
4x + 10 = 4x + 10
To make the equation have infinite solutions, we need to ensure that both sides of the equation are equal, regardless of the value of x.
In this case, we want the equation to be true for all x. We can achieve this by making the coefficients of x the same on both sides of the equation.
So, we can complete the equation as follows:
4x + 10 = 4x + 10
By doing this, the equation will always hold true, no matter the value of x.
To create an equation with infinite solutions, we need to set it up so that both sides of the equation are equal regardless of the value of x. One way to achieve this is by making the left side of the equation equal to the right side.
To solve this, we can start by multiplying both sides of the equation by any non-zero constant. This will maintain the equality of the equation while allowing for an infinite number of solutions.
Let's multiply both sides of the equation by 0:
0 * (4x + 10) = 0 * (x + ?)
This simplifies to:
0 = 0
Now, we have an equation where both sides are equal to 0, and this holds true regardless of the value of x. Therefore, this equation has infinite solutions.