Distributive property: 10x - 5 = 6
Add 5
10x = 11
Divide both sides by 10
x = 1.1
-6x - 10 > 14 + 2x
<u>-2x </u> <u> -2x </u>
-8x - 10 > 14 THIS IS THE MISSING STEP
<u> +10</u> <u>+10 </u>
-8x > 24
x < -3
Answer: x < -3
Replace x and y’all with the point and solve the equations
1. 2(0.5)+ 4(-6.75) = 1 + -27 = -26
This is true so is an answer.
2. Y = 0.5-7.5 = -7, -7 is not -6.75 so this is not true.
3. 2(-6.75) = 0.5 + 13
13.5 = 13.5
This is true so is also an answer.
4. -6.75 = 0.5(0.5) -7
-6.75 = 0.25-7
This is true so also an answer.
Answers are 1, 3 and 4
Well, basically what they are trying to do is isolate the y variable on the left side of the equation in order to get it in slope-intercept form (y=mx+b where "m" equals the slope and "b" is the y-intercept). So, in order to do this they have to do the inverse operations (so if it's adding they subtract, and if it's multiplying they divide.) Anyways, they do this with the intention of getting only the variable "y" on the left side of the equal sign. Once they did all that they got it in slope intercept form, and they know that the coefficient in front of the variable x is the slope.
