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2+3x < 3(x-1)
2+3x < 3x-3 Distribute the 3.
-2 -2 Subtract a 2 from both sides (trying to get x by itself)
3x < 3x-5
-3x -3x Subtract a 3x from both sides
0<-5 This is a false statement so there is no number that will work for this inequality. If it had been a true statement (such as 0>-5) then any real number would have worked for x.

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There are several ways to do this problem (linear combination, substitution, graphing). The easiest is by linear combination. You are going to subtract the two equations.
x+y=12
-(x-y=2) Put the common terms over each other like a subtraction problem.
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x+y=12
-x+y=-2 Distribute the negative to both sides of equation
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0x+2y=10 Combine like terms.
2y=10
2y/2=10/2
y=5

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First you have to distribute any minus or pluses you have. You can re-write the equation as 5-y+6-y-5+y=0. Then you should combine like terms on the left and right. 5+6-5=6 and -y-y+y=-y. After you've combined like terms you now have 6-y=0. Subtract a 6 from both sides to get -y=-6, then multiply both sides by -1 to make y positive. (-1)(-y)=(-1)(-6) => y=6

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This is the equation of a line. It is in the form y=mx+b. m stands for the slope of the line and b stands for the y-intercept of the line (meaning where the line crosses the y-axis...the actual point would be (0,b)). The x-intercept is the point where the line crosses the x-axis (that point would be (x1,0)). So what you really have is the equation y=2x+0. m=2, b=0, and to find the x-intercept you would plug in 0 for y and then solve for x (0=2x+0). Hope that helps!

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To solve this problem, you would have to multiply both sides of the equation by -3. This is because you want x all by itself so you use the opposite operation (multiplication being the opposite of division (/)).
So -3*(x/-3)=-3*0
x=0

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To solve any equation, you can use PEMDAS (Order of Operations) backwards. First get rid of any subtraction and addition.
Add 19 to both sides. 3z-19+19=173+19 --> 3z=192
Then get rid of any multiplication and division.
Divide both sides by 3. 3z/3=192/3 --> z=64
Finally, plug your answer back in to make sure you did it right.
3(64)-19=192-19=173 We have the right answer! :-)