solv by cramr's rule [ 2x - 5y ] = 2 , [-4x + 10y ] = 1
There is x left. [One x]
You have 2 equations and 2 unknowns so you can solve 2x-3y = -11 y = 4x -3 2x - 3y = -11 -4x + y = -3 multiply 1st equation by 2 both sides: 4x-6y = -22 -4x + y = -3 add: -5y = -25 y = 5 substitute y = 5 into either equation: -4x+y = -3 -4x +5 = -3 -4x = -8 x = 2
I think you are asking for a simplifaction of 2x-3y-2y-4x=24 If so, combine like terms and we have -2x-5y=24. This is an equation of a line and there are infinite solutions. The solutions are all the points on the line.
0 = -2x + 5y - 15 -5y = -2x - 15 y = 2x/5 + 3
solv by cramr's rule [ 2x - 5y ] = 2 , [-4x + 10y ] = 1
It is an expression that can be simplified to 5y+2x-6
4x-2y
(2x + 3y)(2x + 5y)
6x plus 3y minus 2x plus 5y equals 4x plus 8y.
Remember both 16 & 25 are squared numbers. 16 = 4^2 & 25 = 5^2 Hence we can write (4x)^2 - (5y)^2 Remember two squared terms with a NEGATIVE Between them will factor. ( 4x - 5y)(4x + 5y) Note the difference signs. NNB Two squared terms with a positive (+) between them DOES NOT factor.
You have two simultaneous equations; solve them:2x - 3y + 5 = 0→ 2x - 3y = -54x + 5y - 1 = 0 → 4x + 5y = 1As in the second equation the x coefficient is twice that in the first equation, subtract twice the first equation from the second and solve for y; {2}-2×{1}:(4x - 2×2x) + (5y - 2×-3y) = 1 - 2×-5→ (4x - 4x) + (5y - -6y) = 1 - -10→ 5y + 6y = 1 + 10→ 11y = 11→ y = 1Now substitute back into one of the equations (say {2}):4x + 5y = 1→ 4x + 5×1 = 1→ 4x = 1 - 5 = -4→ x = -1Now substitute the values for x and y back into the other equation ({1}) as a check:2x - 3y = 2×-1 - 3×1 = -2 - 3 = -5 as required.Thus the lines intersect at the point (-1, 1).
There is x left. [One x]
You have 2 equations and 2 unknowns so you can solve 2x-3y = -11 y = 4x -3 2x - 3y = -11 -4x + y = -3 multiply 1st equation by 2 both sides: 4x-6y = -22 -4x + y = -3 add: -5y = -25 y = 5 substitute y = 5 into either equation: -4x+y = -3 -4x +5 = -3 -4x = -8 x = 2
10x+5y = 25 5y = -10x+25 y = -2x+5 Therefore: the slope is -2 and the intercept is 5
5
If: 4x = 5y Then: x = 5y/4