y + 2 + 3x = 7x
Subtract 3x from each side of the equation:
y + 2 = 4x
Subtract 2 from each side:
y = 4x - 2
Inspecting the equation in this form, we see immediately that
it's the equation of a line with slope of 4 and y-intercept of -2 .
-- On a blank graph, mark a point on the y-axis at [ y = -2 ].
-- Mark a point on the x-axis at [ x = 0.5 ].
-- Using a straight edge and pencil, connect the two points,
and extend the line as far in each direction as possible.
-- Every point on the line is a solution of the equation. There are
an infinite number of them.
7x = 3x - 12 4x=-12 x=-3
-46 = 3x + 7x
3+3x+7x=13 3x+7x=10 10x=10 x=1
sin7x-sin6x+sin5x
combine like terms. 3x+1+4x-5=31 3x+4x=7x 7x+1-5=31 1-5=-4 7x-4=31 then solve it 7x=35 x=5
7x = 3x - 12 4x=-12 x=-3
7x+6 = -3x-24 7x+3x = -24-6 10x = -30 x = -3
7x+2 = 3x-2 7x-3x = -2-2 4x = -4 x = -1
-46 = 3x + 7x
4x+9 = 7x+3 4x-7x = 3-9 -3x = -6 x = 2
3+3x+7x=13 3x+7x=10 10x=10 x=1
sin7x-sin6x+sin5x
combine like terms. 3x+1+4x-5=31 3x+4x=7x 7x+1-5=31 1-5=-4 7x-4=31 then solve it 7x=35 x=5
8+7x = 20+3x 7x-3x = 20-8 4x = 12 x = 3
7x + 16 = 3x + 4 4x = -12 x = -3
3x + 4x = 847x = 84divide both sides by 7x = 12
x=6