Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair

The equations


Dimitri's Solution








Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:

and

Substitute
and 
So, we have:

Open bracket

Finally, we have:

Part A : You want to arrange the larger negative numbers to the left, so the number farthest left would be -7, followed by -6, -5, -4, and then 0. Then 2 is next, followed by 3. So the answer would be : -7, -6, -5, -4, 0, 2, 3.
Part B : So on that day on January, it's saying the Minnesota's degree was -14 degrees Fahrenheit and New York was -5. And he's saying that New York is colder. This is incorrect because people often make this mistake when working with negative numbers. Think of the numbers on a number line, on the negative side, the farther you are away from zero, the colder it will be. The closer you are to zero on the negative side, the less colder it'll be. On the positive side, the farther you are away from zero, the hotter it will be. The closer you are to zero on the positive side, the more warmer, this is why he is incorrect.
Part C : It would be -61 degrees Fahrenheit, because as I mentioned earlier, the farther you are away from zero on the negative side, the colder it'll be.
Use this calculator to find the unit<span> rate. A rate is a </span>ratio<span> comparing 2 quantities of different kinds of </span>units<span>. A </span>unit<span> rate is a rate with 1 in the denominator. If a rate is given and the quantity in the denominator is not 1, </span>unit<span> rate is calculated by finding an equal </span>ratio<span> such that the denominator is 1.</span>
Answer: -7
Form your equation. Let x be the number.
6x + 10 = 4x - 4
Solve.
6x + 10 = 4x - 4 Subtract 4x from both sides
2x + 10 = -4 Subtract 10 from both sides
2x = -14 Divide by 2 to both sides
x = -7 Answer!