This is an equation of a straight line. A solution for two unknowns requires two (independent) equations; there is only one here.
Every point that is on that line is a solution to the equation. So you can let x be any real number and find a corresponding y. This ordered pair (x,y) will be a solution to the equation as well as a point on the graph of the line.
4x-2y = 5 -2y = -4x+5 y = 2x-2.5 The slope is 2 and the y intercept is -2.5
10-2y
No.
4x+2y = 20 2y = -4x+20 y = -2x+10
4x + 2y = 6 (first equation x 2) 4x + 2y = 6 (second equation rearranged) No unique answer exists
4x-2y = 5 -2y = -4x+5 y = 2x-2.5 The slope is 2 and the y intercept is -2.5
4x-2y = 10 -2y = -4x+10 y = 2x-5 which is now in slope-intercept form
10-2y
No.
2y = 4x + 4y = 2x + 2
4x+2y = 20 2y = -4x+20 y = -2x+10
4x+2y=24 => 2y=24-4x => y=12-2x and the slope is -2
4x + 2y = 6 (first equation x 2) 4x + 2y = 6 (second equation rearranged) No unique answer exists
4x-2y = 3 -2y = -4x+3 y = 2x-1.5 in slope intercept form
-4x-2y = 3 -2y = 4x+3 y = -2x-1.5 which is the equation of a straight line
To solve the equation (4x + 2y = 10) for (y), first isolate (2y) by subtracting (4x) from both sides: (2y = 10 - 4x). Then, divide both sides by 2 to solve for (y): (y = 5 - 2x). Thus, the solution for (y) in terms of (x) is (y = 5 - 2x).
8x+2y=4x=-y/4+0.5y=-4x+2