Let's see. 2X + 3Y = 12 3Y = - 2X + 12 Y = -2/3X + 4 ---------------- 6Y - 4X = 2 6Y = 4X + 2 Y = 2/3X + 1/3 --------------------- Nope. They can't be. Plot a few points and see.
6y = 3x + 4
4x-10
4x + 3y = 6y 4x = 3y 4/3 x = y The slope is 4/3 and the y intercept is 0.
x = 10
Let's see. 2X + 3Y = 12 3Y = - 2X + 12 Y = -2/3X + 4 ---------------- 6Y - 4X = 2 6Y = 4X + 2 Y = 2/3X + 1/3 --------------------- Nope. They can't be. Plot a few points and see.
4x=10+3x or 10+3x=4x
6y = 3x + 4
x + 3x - 10 = 5 - 4 4x - 10 = 1 4x = 1 + 10 x = 11/4
2 - x > 3x + 102 - x + x > 3x + x + 102 > 4x + 102 - 10 > 4x + 10 - 10-8 > 4x-8/4 > 4x/4-2 > x or x < -2
4x-10
4x + 3y = 6y 4x = 3y 4/3 x = y The slope is 4/3 and the y intercept is 0.
x = 10
10
6y = 3x + 4 y = 3/6x + 4/6 or y = x/2 + 2/3
3x+2y-4=4x-6y-5So lets combine like terms8y=x-1so the linear equation isy=1/8x-1/8or in standard formx-8y-1=0Of course this is the equation of a line so their are infinite number of solutions. The solutions being all the points on the line.
5x -6y=-30 5x-6y=30 (2x+3y) (2x-3y)=30 4x+6y=30 4x=30 x=30/4