Answer:
r > -4
x < 4
Step-by-step explanation:
-8r < 32
r > -4
8x < 32
x < 4
-30-5x=-4x-6(5+4x)
First, you need to use the distributive property on the right to get -30-5x=-4x-30-24x
Then, you can add like terms to get -30-5x=-30-28x
Then, you can add 30 to both sides and add 5x to both sides to get 0=-23x
Finally, you divide both sides by -23 to get 0=x
Answer: 8
Explanation: Without the discount, 8 frozen yogurts for $4 will come to $32. Deduct $2 from the total cost (32-2), and now they're paying $30.
The correct answer is letter A.
Hey there!
We can solve systems two ways - substitution and elimination. It seems in this case that elimination is going to be easier.
Let's begin by multiplying the top equation by 3, and the bottom equation by 4:
3(5x - 4y = -24)
15x - 12y = -72
4(4x + 3y = 18)
16x + 12y = 72
Next, we'll add the two equations together to get rid of, or eliminate, the y variable and solve for the x variable:
(15x - 12y = -72) + (16x + 12y = 72)
31x = 0
x = 0
Next, we'll plug the value of the x variable into the top equation and solve for the y variable:
5(0) - 4y = -24
-4y = -24
y = 6
Therefore, x = 0 and y = 6.
Hope this helps!! :)