Ok so 2x + 3x + 2x + 3x = 180.... so combine like terms, 2x + 3x + 2x + 3x is 10x, because 2+3+2+3 is equal to 10, and then so 10x = 180, so divide each side by 10 because the "10" on the left side is multiplying the x, and we want "x" by itself and the opposite of multiplication is division, and 10x/10 is x and 180/10 is 18, so x = 18.
3x+4 = 5x-6 3x-5x = -6-4 -2x = -10 x = 5
At the point of intersecting lines, the points are equal. Watch this: The equation of the 1st line is Y=3x-7 The equation of the 2nd line is Y=-2x+3 Remember, at the intersecting points they are equal. So then: 3x-7=-2x+3 Now solve for x (get x by itself in the form of x=whatever) 3x-7=-2x+3 +2x +2x (What you do to one side of the equal sign you must do to the other) ____________ 5x -7 = 3 +7 = +7 ____________ 5x = 10 now divide by 5 to remove the 5 from the x in 5x. ___ ___ 5 5 x=2 Then you sub x=2 into any of the two equation. Lets use the first one: Y=3x-7 becomes Y=3(2)-7 Y=6-7 Y=-1 So the intersecting point is (2,-1)
3X - 23 + 4X + 6 = 5X + 8combining like terms, 7X - 17 = 5X + 8subtracting 5X and adding 17 to each side, 7X - 5X = 8 + 17Then, 2X = 25X = 12.5
It works out that the tangent line of y -3x -5 = 0 makes contact with the circle x^2 +y^2 -2x +4y -5 = 0 at the coordinate of (-2, -1) on the coordinated grid.
5x+7=3x-21 -7= -7 5x=3x-14 -3x=-3x 2x=-14 2x/2x=2x/-14 x=-7 The Answer Is -7 -
-3x+7=2x-18 ---> 7+18=2x-3x ----> 25=5x ----> x=5
2x+12-3x = 5 2x-3x = 5-12 -x = -7 x = 7
-3x + (-18) = 2x + 7 +18 +18 -3x = 2x +25 -2x -2x -5x = 25 ----- ----- -5 -5 x=-5 *------- equals a division line
3x+7=2x-5 x=-12
3x+4 = 2x-3 3x-2x = -3-4 x = -7
It is: x+4+2x-7 = 3x-3 simplified
3X+2=2X-5 -2 -2 __________ 3X= 2X-7 -2X -2X __________ X=-7 Check: 3(-7)+2=2(-7)-5 -19=-19 :)
It is 5x - 4
3x2 + 2x - 21 = (3x - 7) (x + 3)
3x + 2x - 8x + 2x = -x
3x/7 + 5y/14x = 3x*2x/(7*2x) + 5y/14x = (6x2 + 5y)/14x