2_ 5_ = 17
To solve this equation, we need to figure out the values of the two missing digits between the numbers 2 and 5 that will make the equation true.
First, let's assume the first missing digit is represented by "x" and the second missing digit is represented by "y".
So, the equation becomes:
2x5y = 17
We can create an equation based on the given condition:
2000 + 10x + 50 + y = 17
Combining like terms, we can simplify the equation to:
10x + y = -33
Now we have a system of linear equations with two unknowns. There are several ways to solve this system, but one common method is substitution.
Let's solve for y in terms of x:
y = -33 - 10x
Now, substitute this expression into the other equation:
10x + (-33 - 10x) = -33
-33 = -33
Since -33 is equal to -33, we can conclude that any value of x will satisfy the equation. Therefore, there are infinitely many values that can replace the missing digits to make the equation 2x5y = 17 true.