6x-2y=33 and 4x+3y=9 solve this simultaneous equation?

multriply 1st equation by 2 and the 2nd equation by 3.
u will get it as
(6x-2y=33 )2= 12x -4y-66
ie 12x-4y-66=0 (1)

(4x+3y=9)3=12x +9y=27
ie 12x+9y-27=0 (2)

subtracting (2) from(1) we get -13y-39=0
ie 3(y-13)=0
therefore either 3 or y-13 is 0
but we know 3 is not equal to 0
ie y-13 =0
therefore y=13
thrrefore substituting y =13 0n (1) we get
12x-4(13)-66=0
ie 6x-2y-33=0
ie 6x=2y+33
therefore x={2(13)+33} /2
ie x = 59/2 =29.5

6x - 2y = 33 multiply by potential of three 18x - 6 y = ninety 9 4x + 3y = 9 multiply by potential of two 8x + 6 y = 18 upload the two equations 26 x = 117 divide by potential of 26 x = 4.5 substitue in secon equatio 4 x 4.5 + 3y = 9 18 + 3y = 9 3y = 9 - 18 3y = -9 divide by potential of three y = - 3 x = 4.5 and y = -3

18 x - 6 y = 99
8 x + 6 y = 18----------ADD

26 x = 117
2 x = 9
x = 4.5

18 + 3 y = 9
3y = - 9
y = - 3

x = 4.5 , y = - 3

6x - 2y = 33 .................................. [1]
4x + 3y = 9 ................................... [2]

From [1]
2y = 6x - 33
y = (6x - 33)/2 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, [3]
From [2] and [3]
4x + 3[(6x - 33)/2] = 9
4x + (18x - 99)/2 = 9
2[4x + (18x - 99)/2] = 2(9)
8x + 18x - 99 = 18
26x = 18 + 99
x = 117/26
x = 9/2 = 4.5
From [3]
y = (6x -33)/2 = (6*(4.5) - 33)/2
y = (27 - 33)/2 = -3

Thus x = 4.5, and y = -3
is the answer.

6x - 2y = 33 (solve by using substitution)
4x + 3y = 9

6x - 2y = 33
2y = 6x - 33
y = (6x - 33)/2

4x + 3y = 9
4x + 3y = 9
4x + 3[(6x - 33)/2] = 9
4x + (18x - 99)/2 = 9
2[4x + (18x - 99)/2] = 2(9)
8x + 18x - 99 = 18
26x = 18 + 99
x = 117/26
x = 9/2 (4.5)

6x - 2y = 33
6(9/2) - 2y = 33
27 - 2y = 33
2y = 27 - 33
y = -6/2
y = -3

∴ x = 9/2 (4.5), y = -3

*3 => 18x-6y=99
*2 => 8x+6y=18
+ => 26x=117
=> x=4.5
=> (4*4.5)+3y=9 => 3y=-9 => y=-3

Multiply first equation by 3 and second equation by 2. Add bothe the equations. You will get the value of x as y term will cancel out. Once u get the value of x , put it in any of the equation , u will get the value of y.

ahhh, let me think......



pretty sure, NEGATORY
i only solve for cool people