Y = 2/3x - 2....the y int here is -2
and u want a line with a slope of -2/3 and a y int of -2...
y = -2/3x - 2.....so u have a slope of -2/3 (means ur line is decreasing)....and a y int of -2...means ur line crosses the y axis at (0,-2)
ur x int can be found by subbing in 0 for y and solving for x
0 = -2/3x - 2
2/3x = -2
x = -2 * 3/2
x = - 3.....and u have an x int(where ur line crosses the x axis) at (-3,0)
so ur graph for this is : the 4th graph...the last one
3z-4=6z-17
-3z-4=-17 (subtracted the 6z from both sides)
-3z=-13 (added the 4 to both sides)
z=
(divided both sides by -3z)
z=
Answer:
x = 4
Step-by-step explanation:
divide both sides by 5- 2x + 5 = 13 subtract 5 from both sides
- 2x = 8 divide both sides by 2
- x = 4
9514 1404 393
Answer:
top down: ∞, 0, 1, 0, ∞
Step-by-step explanation:
The equation will have infinite solutions when the left side and right side simplify to the same expression. This is the case for the first and last expressions listed.
2(x -5) = 2(x -5) . . . . expressions are already identical
x +2(x -5) = 3(x -2) -4 ⇒ 3x -10 = 3x -10 . . . the same simplified expression
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The equation will have no solutions when the x-coefficients are the same, but there are different added constants.
5(x +4) = 5(x -6) ⇒ x +4 = x -6 . . . not true for any x
4(x -2) = 4(x +2) ⇒ x -2 = x +2 . . . not true for any x
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The equation will have one solution when coefficients of x are different.
5(x +4) = 3(x -6) ⇒ 2x = -38 ⇒ x = -19
