Simplify brackets
10x - 4 = 8x + 14
Add 4 to both sides
10x = 8x + 14 + 4
Simplify 8x + 14 + 4 to 8x + 18
10x = 8x + 18
Subtract 8x from both sides
10x - 8x = 18
Simplify 10x - 8x to 2x
2x = 18
Divide both sides by 2
x = 18/2
Simplify 18/2 to 9
<u>x = 9</u>
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept Formula: y=mx+b
y= Y coordinate
m = slope
x = x coordinate
b = y intercept
Point Slope Formula: y-y1=m(x-x1)
Slope Formula: m= y2-y1 / x2-x1
2 - (-2) / 2-0 = 4 / 2 = 2
y- (-2) = 2 (x - 0) = y+2=2x-0
y=2x-2
The system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
<h3>
Which system of equations represents this situation?</h3>
Let's define the variables:
- v = number of hours playing video games.
- h = number of hours spent on homework.
The maximum time that you can spend on both activities is 8 hours, then:
v + h ≤ 8
You want to spend less than 2 hours on video games, so:
v < 2
You want to spend at least, 1.5 hours on homework, so:
h ≥ 1.5
Then the system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
If you want to learn more about inequalities:
brainly.com/question/18881247
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