The graph of 6x + 4y = −2 is shown on the grid. which ordered pair is in the solution set of 6x + 4y ≤ −2?
a) (2, 3)
b) (3, 2)
c) (−2, −3)
d) (−2, 3)

C) (−2, −3)

Step-by-step explanation:

The given inequality is  6x + 4y ≤ −2

We can substitute each point to see which ones satisfy the inequality.

Since you were given a graph, you can alternatively plot the points as shown in the attachment.

All the points that fall in the shaded region including the boundary line are solutions.

From the graph, the correct answer is (-2,-3)

x = 4

Step-by-step explanation: To solve for x in the equation you see here, our goal is to get x by itself on one side of the equation. Our first step will be to isolate the term containing x which in this case is 10x.

To isolate 10x, we have to get rid of the +25 by subtracting 25 from both sides of the equation.

On the left, +25 -25 cancels and we're left with 10x. On the right, 65 - 25 simplifies to 40 and we're left with 10x = 40.

To get x by itself, since it's being multiplied by 10, we just divide both sides of the equation by 10. On the left, the 10's cancel and we're left with x. On the right, 40/10 simplifies to 4 so our answer is x = 4.