3 (cubed) - 3 x 3 x 3 = 0
A linear equation has no higher powers than 1. This is linear.
r + s = 4 and 2r + 3s = 8 multiply the first equation by 2 giving 2r + 2s = 8 subtract this from the second equation giving s = 0 So r = 4 and s = 0.
135=3s +15 120=3s 40=s
3s=2t can also be written as 3y=2x or 3x=2y. Either way, it is linear. To find out if it is linear, simply graph it. If you can draw a completely vertical line through any point of the graph without intersecting more than one point of the graph, then it is linear. This equation (3s=2t), it is linear.
The equation 4R + 3s + 2r = 6r + 3s is an example of the distributive property of addition, where the term 4R is being distributed over the sum of 2r and 6r. To see this more clearly, we can rewrite the equation as: 4R + 3s + 2r = (4R + 6r) + 3s Notice how the terms 4R and 6r are combined and the distributive property allows us to simplify the left-hand side of the equation.
To solve the equation 2s + s + 12 = 132, you first combine like terms on the left side. This gives you 3s + 12 = 132. Next, you isolate the variable by subtracting 12 from both sides to get 3s = 120. Finally, you divide by 3 on both sides to find that s = 40.
s = 15
s = 4
5s - 3 = 3s - 92s = -6s = -3
3 + .3 + .33
-7 = 3s - 1 +1 +1 (add 1 to both sides to get the variable alone) ___ ____ -6 = 3s __ ___ (-6 and 3s both divided by 3) 3 3 -2 = s
decomposition