7
{-4,-5}
x + 8y = 3 therefore 2x + 16y = 6 (a) 2x + 3y = -7 (b) Subtract (b) from (a): 13y = 13 so y = 1 and x = -5
It is the equation of a line in 3-dimensional space.
Inconsistent linear equations in two variables.
(5, 1)
7
{-4,-5}
x + 8y = 3 therefore 2x + 16y = 6 (a) 2x + 3y = -7 (b) Subtract (b) from (a): 13y = 13 so y = 1 and x = -5
It is the equation of a line in 3-dimensional space.
10x+2x-3y-4y=12x-7y
Inconsistent linear equations in two variables.
Stating that it is an equilateral triangle, we are told that all sides are equal.This is another way of saying:4x - y = 7and2x + 3y = 7So this can be solved by eliminating one of those variables:2x + 3y = 7x = (7 - 3y) / 24((7 - 3y) / 2) - y = 714 - 7y = 7y = 1x = 2
Multiply First equation by 2: 6y - 2x = 0Add second equation to this: 6y - 2x + 2x + 2y = 0 + 7Simplify: 8y = 7 so y = 0.875 and x = 2.625
2x - 3y = 7 -37 + y = 7 The second equation simplifies to -2y = 7 so that y = -7/2 Substituting this value for y in the first equation gives 2x - 3*(-7/2) = 7 2x + 21/2 = 7 or 4x + 21 = 14 so that 4x = -7 and so x = -7/4 So the solution to the given question is (x, y) = (-7/4, -7/2)
Since 2x-3y=4y=8 we can say that 4y=8 therefor y=2 We can also say that 2x-3y=4y and as y=2 2x-6=8 so 2x=14 and x =7 so y=2 and x=7
5y+14+y = 3y-7 5y+y-3y = -7-14 3y = -21 y = -7