solve this simultaneous equation show your woking out please?

Question

6x - 2y = 33
4x + 3y = 9

x=
y=

Answer 1

Solve the first equation for x:

6x-2y = 33
6x = 33 + 2y
x = 33/6 + 2/6y

Insert this value for x in the second equation and solve for y.

Then insert the answer to y into either equation to find x.

Answer 2

Graphical Solution:
6x -2y = 33
this is a straight line going through
(0,-33/2) and (33/6, 0) -found these points by setting x= 0 and finding y then by setting y=0 and finding x.
Similarly for
4x+3y =9 this is a line going through
(0,3) and ( 9/4,0)
The first line is a "solution" for equation 1. i.e. every point on that line satisfies the equation 1. Likewise every point on line 2 is a "solution" for equation 2.

so, where the two lines cross is the solution that simultaneously solves both equation 1 and equation 2 at the same time.

Using grapher on OS X the answer is (x,y)=(4.5, -3)

Analytical Solution:
Start with equation 1
6x-2y=33 and solve for y
you get
-2y = 33-6x
2y = 6x-33
y = 3x - 16.5 <<<<< rearranged equation 1
Now, plug this into equation 2 wherever you see a "y"
Equation 2
4x+3y=9
becomes
4x + 3(3x -16.5) =9
4x +9x -49.5 = 9
13x = 58.5
x = 58.5/13
x = 4.5 <<<<<< solved for x
Now we can put this value for x into either equation.
for example
6x-2y=33
becomes
6(4.5) -2y =33
27 -2y = 33
-2y = 6
y = -3 <<<<<<<<< there, solved for y

(x,y) = (4.5,-3) is the simultaneous solution of the system of two equations presented above.

Answer 3

x = 4.5
y = -3
The first thing you should do is get a variable by it's self in one of the equations:
6x - 2y = 33
6x = 33+2y
x = (33+2y)/6

Next you want to plug that value into the other equation:
4x + 3y = 9
4((33+2y)/6) + 3y = 9
(132+8y)/6 + 3y = 9
(132 + 8y + 18y)/6 = 9
132 + 8y + 18y = 54
26y = -78
y = -3

Now plug in that value into any of the equations:
6x - 2y = 33
6x - 2(-3) = 33
6x + 6 = 33
6x = 27
x = 4.5

Answer 4

a. upload the two equations at the same time. 8x = 40 8 x = 6 2(6) + 5y = 2 12 + 5y = 2 5y = -10 y = -2 b. 3x + 4y = 29 x + 8y = 23 multiply the 2d equation by potential of -3 3x + 4y = 29 -3x - 24y = -sixty 9 upload the two equations at the same time: -20y = -40 y = 2 x + 8(2) = 23 x + sixteen = 23 x = 7

Answer 5

6x-2y = 33
6x = 33+2y
x=33/6 + 2/6y

4(33/6+2/6y) + 3y = 9
132/6 +8/6y+ 18/6y =9
132+26y = 9*6
132+26y = 54
26y = 54-132
26y=-78
y = -78/26
y=-3

6x-2(-3) = 33
6x = 33- 6
6x=27
x= 4.5

Answer 6

6x - 2y = 33 <-- Eq1
4x + 3y = 9 <-- Eq 2
18x -6y = 99 <-- Eq 3 = 3*Eq1
8x +6y =18 <-- Eq 4= 2*Eq2
26x = 117
x = 4.5
(6)(4.5) -2y = 33
-2y = 6
y = -3

Answer 7

multiply eqn 1 with 3 and eqn 2 with 3 and add
u get x = 4.5
substitute in any eqn u get y = -3

Answer 8

i just answered for you , after correcting the 2nd equation , pls read the answer , ok , good luck