Determine whether equation is an identity conditional equation or an inconsistent equation 7x+13=2(2×-5)+3×+23
do this one like the previous one
7x+13 = 2(2x-5) + 3x + 23
7x + 13 = 5x-10 + 3x + 23
7x+13 = 7x + 13
what do you think?
To determine whether the given equation is an identity, conditional, or inconsistent equation, we need to simplify and rearrange it.
The given equation is:
7x + 13 = 2(2x - 5) + 3x + 23
First, let's simplify the equation by performing the operations within the parentheses:
7x + 13 = 4x - 10 + 3x + 23
Next, combine like terms on both sides of the equation:
7x + 13 = 7x + 13
At this point, we can observe that the variables (x terms) are already balanced on both sides, and the constant terms (the numbers without variables) are also equal.
This implies that the equation is an identity equation because if we simplify further, we would get the same expression on both sides. In other words, regardless of the value of x, both sides of the equation will always be equal.
So, the given equation 7x + 13 = 2(2x - 5) + 3x + 23 is an identity equation.