8x+30=4x+18 -4x -4x 4x+30=18 -30 -30 4x=-12 4x/4=-12/4 x=-3
3y - 4x = 24 The first step is to write it in the standard form (y=mx + c) 3y = 4x + 24 y = (4x + 24)/3 y = 4x/3 + 8 The y-intercept is 8 and the slope/gradient is 4/3
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
4x+3y = 6 3y = -4x+6 y = -4/3x+2 in slope intercept form
In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).
3y = 4x + 9 -4x + 3y = 9 is the standard form
4x - 11 = 0
-3
-4x + 3y = 9
In standard form it is 4x - 4y = 6 or 2x - 2y = 3
8x-3y=6-4x gives 12x-3y=6 which in standard form is y=-2+4x
The standard form, which is the form that can be generalised to 3 or more dimensional spaces, is 4x + 5y - 13 = 0
4x-y+7=0
y=-x^2+4x-3
x = 4.5
3y=4x+9.....-4xAnswer: 4x-3y=9
4x + y = 10 is a perfectly valid functional form. The standard form is 4x + y - 10 = 0