The first thing you need to do is get this equation to y=something, here's how you'd work that for this equation.
15x-5y=30
(subtract 15x from both sides)
5y=-15x+30
(now we're going to divide everything by 5 to get y by itself)
y=-3x+6
The graph of this equation is going to be a straight line with a slope of -3 and a y-intercept of 6
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Here is a simpler way.
You do not have to rewrite the equation. Just leave it as it is: 15x - 5y = 30
Step 1A:
Cover up the y term so that the equation reads: 15x = 30
divide both sides by 15 so you get x = 2.
Step 1B:
Mark the point with coordinates x = 15, y = 0 ie (15, 0), and label it A.
Step 2A:
Cover up the x term so that the equation reads: -5y = 30
divide both sides by -5 so you get y = -6.
Step 2B:
Mark the point with coordinates x = 0, y = -6 ie (0, -6) and label it B.
Step 3:
Join AB and extend both ways.
Step 4:
Sit back and laugh at the people who rewrote the formula in the form y = something, got the slope and intercept, but don't know how that helps to graph the equation!
use product-to-sumformula sin u cos v =1/2 [sin(u+v)+ sin(u-v)]so you get1/2 int: (sin 15x) - (sin5x) dxsplit it1/2 int: sin 15x dx- 1/2 int: sin 5x dxusing substitution you can conclude that1/30 int: sin u du- 1/10 in sin w dw(you get the fraction change when you set dx=duand dw)so then- (cos u)/30 + (cos w)/10replace the substitution(cos 5x)/10 - (cos 15x)/30 + Constant
x + 30 = 64 Therefore, x = 64 - 30 x = 34
Substitute 2x - 6 for y in first equation: 12x - 5(2x - 6) = 30 ie 12x - 10x + 30 = 30 so 2x = 0 making x = 0 and y = -6
0.45
As x ∝ yz2 then x = kyz2 where k is a constant. Substituting the given figures, 40 = k*20*22 = 80k Then k = ½ and the formula is, x = ½yz2 So, x = ½ * 30 *32 = 135
Use algebra. 12x+30=15x-20. Add 20 to both sides. 12x+50=15x. Subtract 12x from both sides. 50=3x. Divide both sides by 3. 16.666...=x
It's an equation. If you want to solve it for x, you can do so as follows: x2 + 15x = 30 x2 + 15x + (15/2)2 = 30 + (15/2)2 (x + 15/2)2 = 30 + 225/2 x + 15/2 = ± √(285/2) x = (-15 ± √570) / 2
25X + 30 = 15X subtract 15X from each side 25X - 15X + 30 = 15X - 15X 10X + 30 = 0 subtract 30 from each side 10X + 30 - 30 = 0 - 30 10X = -30 divide both sides integers by 10 (10/10)X = - 30/10 X = - 3 ----------------check in original equation 25(- 3) + 30 = 15(- 3) - 75 + 30 = - 45 - 45 = - 45 ----------------checks
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
The GCF of 30 x^2 and 45x is 15x. The GCF of 30 and 45 is 15, and the GCF of x squared and x is x.
5x -6y=-30 5x-6y=30 (2x+3y) (2x-3y)=30 4x+6y=30 4x=30 x=30/4
50 x 30
You would put one dot on (0,-1), then another dot on (30,-6). Then you put another dot on (60,-11). JUst keep following the same pattern of adding 30 to the x coordinates and 5 to the y coordinates.
-- make a list of 20 or 30 small numbers-- one at a time, put each number in place of 'y', and figure out what 'x' is-- mark a point at the pair of numbers you have for (x, y) on the graph-- after a while, you'll start to see the graph take shape, and you can fill in the gaps between the points
if you have 3*x^2 + 2 * x + 3 = 4, you can rewrite it to3*x^2 + 2 * x - 1 = 0edit:example:2x**2-15x-15=15+2x+x**2subtract away from one side2x**2-15x-15-x**2=15-2x+x**2-x**2x**2-15x-15=15-2xx**2-15x-15-15=15-2x-15x**2-15x-30=-2xx**2-15x-30+2x=-2x+2xx**2-13x-30=0Factor (long way):-mulitply first and third terms:1*-30=-30-factors of -30 that add up to second term:30=1*2*3*5-30=-1*30, 1*-30-30=-2*15, 2*-15-30=-3*10, 3*-10-30=-5*6, 5*-6-rewrite polynomial:x**2-13x-30=0x**2-15x+2x-30=0-factor sets of terms (ie first and second, third and fourth):x**2-15x+2x-30=0x(x-15)+2(x-15)=0-factor:x(x-15)+2(x-15)=0(x+2)(x-15)=0-determine roots:x+2=0x+2-2=0-2x=-2x-15=0x-15+15=0+15x=15Factor (short way):x**2-13x-30=0-because the first term is x**2 you can:1. Take third term and factor, choose factors that add up to second term:30=1*2*3*5-30=-1*30, 1*-30-30=-2*15, 2*-15-30=-3*10, 3*-10-30=-5*6, 5*-62. Place factors in (x+a)(x+b) where a and b are factors of the third term whose sum is the second term(x+2)(x-15)3. Determine roots:x+2=0x+2-2=0-2x=-2x-15=0x-15+15=0+15x=15
It would equal 1 meter because 30 centimeters equals 1 meter 60 centimeters equals 2 meters.
10+30=70-30