Hello there!
The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.
3x + 1 < -2x + 8
We wanna start by subtracting 1 on both sides
3x + 1 - 1 < -2x + 8 - 1
3x < -2x + 7
Add 2x on both sides
3x + 2x < -2x + 7 + 2x
5x < 7
x < 7/5
I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!
The first one is 4
The second one is 2.449489743 or 2.45
Answer:
Equation 1: 7x + 2y = 12.8
Equation 2: 6x + 3y = 12
Cost of 1 apple: $1.60
Cost of 1 orange: $0.80
Cost of 1 orange: $Step-by-step explanation:
Let's use the elimination method to solve this
Multiply equation 1 by 3
(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4
Multiply equation 2 by -2
(6x + 3y = 12) x -2 = -12x - 6y = -24
The x terms will cancel each other out
21x + 6y = 38.4
-12x - 6y = -24
9x = 14.4
Divide by sides by 9 to isolate the x variable
9x/9 = 14.4/9
x = 1.6
This means an apple costs $1.60
Plug the new x into one of the original equations to find y; we'll use equation 1
7(1.6) + 2y = 12.8
11.2 + 2y = 12.8
Subtract 11.2 from both sides
11.2 + 2y = 12.8
- 11.2 - 11.2
2y = 1.6
Divide both sides by 2
2y/2 = 1.6/2
y = 0.8
This means an orange costs $0.80
