First rearrange these simultaneous equations in the form of:
7x-4y = 26
5x-4y = 14
Subtract the bottom equation from the top equation remembering that a - - is equal to a plus. So, -4y - - 4y = 0
2x = 12 and therefore it follows that x = 6
Substitute the value of x into the original equations to find the value of y:
Therefore: x = 6 and y = 4
5x+4y = -3 4y = -5x-3 y = -5/4 x - 3 Slope is -5/4.
27 + y = 42 - 4y so 5y = 15 making y = 3 and x = 6
2x + 6y = 93x - 12y = 15Chose the second equation because you can simplify it.3x - 12y = 15 divide by 3 to both sidesx - 4y = 5 add 4y to both sidesx = 4y + 5Replace 4y + 5 for x to the first equation.2x + 6y = 92(4y + 5) + 6y = 98y + 10 + 6y = 914y = -1y = -1/14x = 4y + 5x = 4(-1/14) + 5x = -2/7 + 5x = -2/7 + 35/7x = 33/7
5x = 4x + 9 x = 9
5x - 1 = 24 5x - 1 + 1 = 24 + 1 5x = 25 5x/5 = 25/5 x = 5
7x-4y = 26 5x-4y = 14 Subtract the bottom equation from the top squation remembering that a minus minus is equal to a plus therefore - 4y - - 4y = 0 2x = 12 Divide both sides by 2 to find the value of x: x = 6 Substitute the value of x into the original equations to find the value of y: Therefore: x = 6 and y = 4
5x-4y=8
5x + 4y = 204y = -5x + 20y = (-5/4)x + 5
Combine like terms: -2x - 4y + 5x - 7y = 3x - 11y -2x + 5x = 3x -4y + -7y = -11y
5x=4y=-20 x=-4 y=-5 (-4,-5) is the ordered pair
5x+4y = -3 4y = -5x-3 y = -5/4 x - 3 Slope is -5/4.
-5x-4y = 6 -4y = 5x+6 Divide all terms by -4 y = -1.25x-1.5 Slope = -1.25 and intercept = -1.5
5x - 4y = -41 => 5x = 4y - 41 => x = (4y - 41)/5 Then 4x + 35 = 4*[(4y - 41)/5] + 35 = 16y/5 - 164/5 + 35 = 16y/5 -11/5 or (16y - 11)/5
y-intercept: -1/4 x-intercept: 1/5 5x-4y=1 -4y=-5x+1 y=5/4x+1/-4 5x-4y=1 5x=4y+1 x=4/5y+1/5
27 + y = 42 - 4y so 5y = 15 making y = 3 and x = 6
5x+4y = 20 4y = -5x+20 y = -5/4x+5 Therefore: slope is -5/4 and intercept is 5
Transform the equation into slope-intercept form: y = mx + b. The intercept is b. 5x - 4y = 18 -4y = 18 - 5x 4y = 5x - 18 y = 5x/4 - 18/4 so the y-intercept is -18/4 or -4.5