5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
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(3x+2y)*(5x-3y) =3x*5x + 3x*(-3y) + 2y*5x + 2y*(-3y) [This is sometimes called the FOIL method - You multiply the First members of each bracket, then the Outers, Inners, Lasts] = 15x2 - 9xy + 10xy - 6y2 = 15x2 + xy - 6y2
Convert the equation to the standard slope intercept form of y = mx + c, where the value of m is the slope. -5x + 3y = 3 3y = 5x + 3 y = 5/3x + 1 Then the slope is 5/3.
5x+3y
There are 2 unknowns
First get y in terms of x: 5x-2y=-12 ----- -2y=-12-5x ------ y=6+(5/2)x Sub into other equation: 2x+3y=-1 ---- 2x+3(6+(5/2)x)=-1 Solving for x gets: x= -2 Sub into other equation: 5x-2y= -12 --- 5(-2)-2y= -12 --- y=1 So x= -2, and y= 1