4y = 2y + 40 4y - 2y = 2y -2y +40 2y = 40 y = 20 check 4(20) = 2(20) +40 80 = 80
42+4y -12 = 13y -12 -2y 4y -13y+2y = 12 -12 -42 -7y = -42 y = 6
Answers to pick: -2x - y = 4 2x + y = -2 -8x + 4y = -16 -4x + 2y = -8 -x - 2y = 6 -7x + 4y = 16 2x + 3y = 6 3x + 2y = 4
1. 3x-2y=24 2. 6x-4y=-6 Note that we can write the first equation as -2y=-3x+24 and the second as -4y=-6x-6 Now divide the first equation by -2 and the second by -4 1. y=3/2x-12 2. y=3/2x+6/4 This tells us the lines have the same slope and different y intercepts which means they are parallel. There is NO solution. If you use elimination or substitution you find the same thing. Note, if you try emiminate you end up with 0y=-54 which is not true also telling you there is no solution.
No, it equals 4y2
The equation can be simplified to show a value of Y in terms of X. 3X + 2Y +2 = 4Y + 4 3X + 2 = 2Y + 4 3X -2 = 2Y and 2Y = 3X - 2 means that Y = (3/2 X) -1
(2, -1)
Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3
(-1, 5)
(-1, 5)
The answer is -5x + 2y. The terms with the same variable are combined by adding or subtracting their coefficients, and then the result is written with the corresponding variable. In this case, -3x and -2x combine to give -5x, and 4y and -2y combine to give 2y.
3x + 4y = 5x - 2y = 5leads to:x = 5 + 2ySo:3(5 + 2y) + 4y = 515 + 10y = 510y= -10y=-1and therefore if y = -1 then x = 3.
We will see. 3X + 2Y = 15 6X + 4Y = 30 I do not like the look of elimination, so substitution 3X + 2Y = 15 3X = 15 - 2Y X = 5 - 2/3Y -------------- 6(5 - 2/3Y) + 4Y = 30 30 - 12/3Y = 30 30 - 4Y = 30 this is inconsistent in approach 3(5 - 2/3Y) + 2Y = 15 15 - 15/3Y = 15 another bad approach, try elimination to show inconsistency - 2(3X + 2Y = 15) 6X + 4Y + 30 -6X - 4Y = - 30 6X + 4Y = 30 I think it is safe to say these systems of equations are inconsistent --------------------
Collect like terms: 3x - x + 4x - 4y + 6y + 2 = 6x + 2y + 2
If you mean x+2y = -2 and 3x+4y = 6 then the solutions to the equations are x = 10 and y = -6
2x + 4y = 16 is the same as 4y = -2x + 16 divide both sides by 4 and you get y = (-x/2) +4 3x - 2y = 6 is the same as -2y = -3x + 6 divide both sides by 2 and you get y = (-3x/2) + 3 therfore they do not have the same solution
12x-4y+9z+2y =12x-2y+9z