To create an equation with infinite solutions, we need the coefficients of x on both sides of the equation to be the same.
For the equation 4x + 10 = ?x + ?, the coefficients of x on both sides are currently 4 and ?. For infinite solutions, we need both coefficients to be the same. Therefore, we can choose any number for both ?.
For example, if we choose ? = 4, the equation becomes:
4x + 10 = 4x + 4
In this case, we can see that both sides of the equation simplifies to 4x, so we have:
4x = 4x
This equation is true for all values of x since both sides are equal. Therefore, the equation 4x + 10 = 4x + 4 has infinite solutions.
complete the equation so that it has infinite solutions
4x + 10 = ?x + ?
6 answers
last part is wrong
Apologies for the mistake. In order to have infinite solutions, the equation should simplify to a true statement, such as 0 = 0. Let's adjust the equation accordingly:
4x + 10 = ?x + ?
To make the coefficients of x on both sides the same, let's choose a value for ? that makes it equal to 4 (the coefficient of x on the left side). For example, if ? = 4, the equation becomes:
4x + 10 = 4x + 4
Now, subtracting 4x from both sides of the equation, we get:
10 = 4
This is not a true statement, as 10 is not equal to 4. Therefore, the equation 4x + 10 = 4x + 4 does not have infinite solutions. Apologies for the confusion.
4x + 10 = ?x + ?
To make the coefficients of x on both sides the same, let's choose a value for ? that makes it equal to 4 (the coefficient of x on the left side). For example, if ? = 4, the equation becomes:
4x + 10 = 4x + 4
Now, subtracting 4x from both sides of the equation, we get:
10 = 4
This is not a true statement, as 10 is not equal to 4. Therefore, the equation 4x + 10 = 4x + 4 does not have infinite solutions. Apologies for the confusion.
it needs to be infinite
Apologies for the confusion earlier. To create an equation with infinite solutions, both sides of the equation should be equivalent. Let's try a different approach:
For the equation 4x + 10 = ?x + ?, in order to have infinite solutions, we need both coefficients of x on both sides to be the same. Let's choose ? = 4 to match the coefficient of x on the left side, which is 4.
So the equation becomes:
4x + 10 = 4x + 4
To simplify this equation, we can subtract 4x from both sides:
10 = 4
Now, we can see that the equation simplifies to a false statement, as 10 is not equal to 4. Therefore, the equation 4x + 10 = 4x + 4 does not have infinite solutions. I apologize for the confusion in my previous response.
For the equation 4x + 10 = ?x + ?, in order to have infinite solutions, we need both coefficients of x on both sides to be the same. Let's choose ? = 4 to match the coefficient of x on the left side, which is 4.
So the equation becomes:
4x + 10 = 4x + 4
To simplify this equation, we can subtract 4x from both sides:
10 = 4
Now, we can see that the equation simplifies to a false statement, as 10 is not equal to 4. Therefore, the equation 4x + 10 = 4x + 4 does not have infinite solutions. I apologize for the confusion in my previous response.
The answer is 4x + 10= 4x + 10