y = 2x -1 y = 5x -13 So: 5x -13 = 2x -1 5x -2x = 13 -1 3x = 12 x = 4 and by substituting y = 7
2x+3y=13 3x-y=3 x=2
1. x + y = 22. y = 2x - 13Rewriting 2. as:3. 2x - y = 13Adding 1 & 3 gives:4. 3x = 15x = 5Substituting x = 5 into 1. gives:5 + y = 2y = 2 - 5y = -3Checking values by substituting x = 5 and y = -3 into 2 gives:-3 = (2 * 5) - 13-3 = 10 - 13-3 = -3Therefore x = 5 and y = -3.
So, is that to say that 2x-y-2 = 0? Taking into consideration that y = mx + b ... 2x-2 = y y = 2x -2 In y = mx + b, the "b" is the y intercept the "m" is the slope To find the x intercept, make y = 0 and solve. 0 = 2x -2 2 = 2x x = 1
20x2 + 22xy + 6y2 = 20x2 + 10xy + 12xy + 6y2 = 10x(2x + y) + 6y(2x + y) = (2x + y)(10x + 6y) = 2(2x + y)(5x + 3y)
2x / (y-2) + 2x / (2-y)First get a common denominator: (y-2) (2-y)Then you have:2x(2-y) / (y-2)(2-y) + 2x(y-2) / (y-2)(2-y), summing and simplifying, you get:(4x-4) / (y-2)(2-y)
y = 2x -1 y = 5x -13 So: 5x -13 = 2x -1 5x -2x = 13 -1 3x = 12 x = 4 and by substituting y = 7
x + 2y = 27 2x - y = 19 y = 2x - 19 x + 2(2x - 19) = 27 x + 4x - 38 = 27 5x = 65 x = 13 y = 2(13) - 19 y = 7
y=(2x)2 y=2(2x) y=4x
Those would be two equations that each describe a different line: 2x + 5y = 2 -3x - y = -2 If you'd like to find the point at which they intersect, that can be done using the substitution method. First, take either of the equations and solve it for one of the two variables. In this case, we'll solve the second equation for y: -3x - y = -2 ∴ y = 2 - 3x Now take that definition of y, and plug it into the other equation: 2x + 5y = 2 ∴ 2x + 5(2 - 3x) = 2 ∴ 2x + 10 - 15x = 2 ∴ -13x = -8 ∴ x = 8/13 Now you can take that value of x, and plug it into either of the original equations to find the value of y: 2x + 5y = 2 ∴ 16/13 + 5y = 2 ∴ 5y = 26/13 - 16/13 ∴ 5y = 10/13 ∴ y = 2/13 To be certain that our answer is correct, we should also plug that value into the other original equation: -3x - y = -2 ∴ -24/13 - y = -2 ∴ -y = -26/13 + 24/13 ∴ y = 2/13 So our answer is indeed correct, and the two lines intersect at the point (8/13, 2/13)
2x+3y=13 3x-y=3 x=2
-2x+13y=11 13y=2x+11 y=2x/13 + 11/13
1. x + y = 22. y = 2x - 13Rewriting 2. as:3. 2x - y = 13Adding 1 & 3 gives:4. 3x = 15x = 5Substituting x = 5 into 1. gives:5 + y = 2y = 2 - 5y = -3Checking values by substituting x = 5 and y = -3 into 2 gives:-3 = (2 * 5) - 13-3 = 10 - 13-3 = -3Therefore x = 5 and y = -3.
Solve for y: f(-5)=13+2x
eqn 1 Y = 2X + 6 eqn 2 2X - Y = 2 Rearrange eqn2 to isolate Y eqn2 Y = 2X - 2 so 2X + 6 = 2X - 2 subtracting 2X from both sides we get 6 = -2 As this is impossible this set of equations can not be solved.
2x - y = 2 2x - y = -2 This system is inconsistent -- that is, there is no solution. To help see why, let Z = 2x - y and notice Z can't be 2 and -2 at the same time.
So, is that to say that 2x-y-2 = 0? Taking into consideration that y = mx + b ... 2x-2 = y y = 2x -2 In y = mx + b, the "b" is the y intercept the "m" is the slope To find the x intercept, make y = 0 and solve. 0 = 2x -2 2 = 2x x = 1