this is an equation of a line. it has a slope of 4/3 and a y-intercept of 5
5 - 2y = -3y - 2Subtract 5 from each side:-2y = -3y - 7Add 3y to each side:y = -7
The equation 4x + 5 = 2 has the solution 4x = -3 and x = - 3/4 (minus 3/4).
5(-2)+(-3)(-4) =-(10)+12 =2
3y - 3 = 2y + 5 3y - 2y = 5 + 3 y = 8
(5, 2)
4(2) - 3(1) = 5
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
2X - 3Y = -2 4X + Y = 24 -2(2X - 3Y = - 2) 4X + Y = 24 - 4X + 6Y = 4 4X + Y = 24 ------------------+ 7Y = 28 Y = 4 ------- insert back into one of the equations ( 4X + Y = 24 will do ) 4X +(4) = 24 4X = 20 X =5 -------- check 2(5) - 3(4) = -2 10 - 12 = -2 -2 = -2 checks I can see by inspection that the other equation checks also
The gradient (slope) of 3y = 4x+5 is 4/33y = 4x+5y = 4/3x+5/3y=mx+c(m = gradient)mx+c = 4/3x+5/3m = 4/3
2x-3y-7y+4x-5=6x-10y-5=6*10-10*4-5=60-40-5=60-45=15
x = -1/5 and y = 14/5 Solved by forming a simultaneous equation and eliminating y.
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).
2x - 3y -7y + 4x - 5 = 6x - 10y - 5 and (6 x 10) - (10 x 4 ) - 5 = 60 - 40 - 5 = 15
this is an equation of a line. it has a slope of 4/3 and a y-intercept of 5
You substitute 5 for x and 2 for y:4(5)-3(2)Now solve:4*(5)=203*(2)=620-6=14Anyone can do this, I'm 12 years old and answering this question!
5 - 2y = -3y - 2Subtract 5 from each side:-2y = -3y - 7Add 3y to each side:y = -7