Answer: -112
Step-by-step explanation:
To answer this question, we need to input all of the values of each variable into the equation. For a we replace it with (-2), b we replace it with 5, c we replace it with 3, and d we replace it with 4.
turns into
Since a number next to another number in parentheses is the same as multiplication, multiply out the numbers next to each other. Let's start with the first half of the equation with
-2 times 5 = -10. -10 times 10 = -100 (remember that a negative times a positive equals a negative).
For the second half of the equation, multiply 3 by 4.
We can now replace the original values with their distributed ones, and then subtract.
Answer:
Not a solution
Step-by-step explanation:
To determine if a pair of coordinates is the solution to an equation, just plug it in.
Given that the equation is:
y = 19x - 2
And the coordinates they give us to evaluate:
(6, 4)
Plug the coordinates in:
y = 19x - 2
4 = 19(6) - 2
4 = 114 - 2
4 = 112
4 ≠ 112
4 is not equal to 112. Therefore this pair is not the solution.
Explanation
The point (6,4) tells us that x = 6 and y = 4 pair up together.
Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.
y = 19x - 2
4 = 19*6 - 2
4 = 114 - 2
4 = 112
We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.
Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.