Solving for y: 5y = 9 + 2y 5y - 2y = 9 3y = 9 y = 9/3 = 3
x-(x-2y)+z=-9 3y-2z=4 2x+y+5z=-5 x-(x-2y)+z=-9 --distribute negative through bracket--> x-x+2y+z=-9 x-x+2y+z=-9 --combine like terms (x)--> 2y+z=-9 2y+z=-9 --isolate z--> z=-9-2y substitute z into second equation: 3y-2(-9-2y)=4 --multiply -2 through bracket--> 3y+18+4y=4 3y+18+4y=4 --subtract 18 from both sides--> 3y+4y=-14 3y+4y=-14 --combine like terms--> 7y=-14 7y=-14 --divide both sides by 7--> y=-2 Substitute value of y into simplified first equation: z=-9-2(-2) --multiply through the bracket--> z=-9+4 z=-9+4 --combine like terms--> z=-5 Substitute values of y and z into third equation: 2x+(-2)+5(-5)=-5 --multiply through brackets--> 2x-2-25=-5 2x-2-25=-5 --combine like terms--> 2x-27=-5 2x-27=-5 --add 27 to both sides--> 2x=22 2x=22 --divide both sides by 2--> x=11 x=11, y=-2, z=-5
The equation "x plus 2y equals 5" is: x + 2y = 5 2y = 5 - x y = 5/2 - 1/2x y = -1/2x + 5/2
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
Y squared (Y^2)
x = y+3 x+2y = 9 => x = 9-2y y+3 = 9-2y 2y+y = 9-3 3y = 6 y = 2 and x = 5
x + 2y = -5 2x + 3x = -9 5x = -9 x + 2y = -5 x = -2y - 5 5(-2y - 5) = -9 -10y - 25 = -9 -10y = 16 y = -5/8 x = -2y - 5 x = -2(-5/8) - 5 x = -5/4 - 5 x = -25/4 (-25/4, -5/8)
x + 2y - 9 = 4 can be rewritten as x + 2y = 13, but this is as far as you can simplify it because you have two unknowns and one equation.
3x-2y+9+9y-x = 2x+7y+9
first get both your equations into standard form... x + 2y = 9 (equation 1) x + 2y = 13 (equation 2) multiply equation 1 by (-1) -x - 2y = -9 x + 2y = 13 add the equations together 0 + 0 = 4 0 = 4 since the equations dont equal out then these equations do not intersect and are therefore parallel. PARALLEL is your answer
Get in form first.6X - 2Y = 18- 2Y = - 6X + 18Y = 3X - 9====================zero out Y to find X intercept3X - 9 = 03X = 9X = 3==========X intercept
(1) 9x-2y=73 (2) 5x-9y=9 from (1) 9x-2y+2y=73+2y => 9x= 73+2y => x = (73+2y)/9 put into (2) 5x-9y = 9 => 5(73+2y)/9 - 9y=9 => 10y/9 + 365/9 -9y = 9 => 10y/9 - 9y = 9 -365/9 = -284/9 => -71y/9 = -284/9 => 71y= 284 => y = 284/71 = 4 and x = (73+2*4) / 9 = 9
4x + 2y = 12 3x - 2y = 9 Have to use simultaneous equations, so add together to get : 7x = 21 so x = 3 Put it into any part of the equation 4x3 + 2y = 12 12 + 2y = 12 2y = 0 y = 0, x = 3
5X - 2Y X = 9 Y = 4 5(9) - 2(4) 45 - 8 37 is the value
At the y-intercept, x=0 .-2y = 18y = -9
x + 2y = x + 2y Y and X aren't compatibles.
x-2y=14 x+3y =9 subtract the equations x-2y = 14 -x-3y = -9 -5y = 5 divie both sides by -5 y = -1 substitute y = -1 into the first equation (or second) x -2(-1) = 14 x + 2 = 14 x = 12