Chinese Method of solving equations?

Question

Using that method, how can I solve the equation to find x first?
2x+4y=6 and 4x-3y=-10
I can find y first, but does anyone know how to solve it by finding the value of x first using the chinese method?

Answer 1

2x + 4y = 6- - - - - -Equation 1
4x - 3y = - 10- - - --Equation 2
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Multiply equation 1 by - 2

2x + 4y = 6

-2(2x) + (- 2)(4Y) = -2(6)

-4x + (- 8y) = - 12

- 4x - 8y = - 12. . .nw equation 1

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-4x - 8y = - 12
4x - 3y = - 10
-- - - - - - - - -
- 11y = - 22

- 11y/-11 = - 22 / - 11

y = 2

The answer is y = 2

Insert the y value into equation 1

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Solving for x

2x + 4y = 6

2x + 4(2) = 6

2x + 8 = 8

2x + 8 - 8 = 6 - 8

2x = - 2

2x/2 = - 2/2

x = - 1

The answr is x = - 1

Insert the x value into equation 1

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Check for equation 1

2x + 4y = 6

2( - 1) + 4(2) = 6

-2 + 8 = 6

6 = 6

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Check for equation 2

4x - 3y = - 10

4(- 1) - 3(2) = - 10

- 4 - 6 = - 10

- 10 = - 10

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The solution set is { - 1, 2 }

- - - - - - -s-

Answer 2

I don't know what this "Chinese" method is, as the only two methods I've learned in school are elimination and substitution.

Elimination involves eliminating one of the variables by adding the equations together.

2x + 4y = 6
4x - 3y = -10

I'm going to multiply the first equation by -2, to get

-4x - 8y = -12
4x - 3y = -10

And now I'm going to add them together.

-11y = -22

Therefore, y = 2

Going back to here:

2x + 4y = 6
4x - 3y = -10

Now I'm going to multiply the top equation by 3 and the bottom equation by 4.

6x + 12y = 18
16x - 12y = -40

And then add them together.

22x = -22
x = -1

Therefore, x = -1 and y = 2


Now, let's solve this same problem using the substitution method.

2x + 4y = 6
4x - 3y = -10

First, we solve for one variable in terms of the other. Let's solve 2x + 4y = 6

2x = 6 - 4y
x = 6/2 - 4y/2
x = 3 - 2y

Now, we replace this value of x = 3 - 2y into the second equation, 4x - 3y = -10

4(3-2y) - 3y = -10

And then solve for y.

12 - 8y - 3y = -10
-11y = -22
y = 2

Now that we solved for y = 2, we can plug this into ANY of the two equations to solve for the other variable. Let's plug this into
4x - 3y = -10
4x - 3(2) = -10
4x - 6 = -10
4x = -4
x = -1

Therefore, x = -1 and y = 2

*****
As you can see, I'm aware of more than one method of solving a system of equations, but I don't know what this "Chinese method" that you speak of is.

Is the method more important to you, or getting the answer?

Answer 3

2x+4y=6

rearrange the equation:
y=(6-2x)/4

Substitute into the second equation:
4x - 3*(6-2x)/4=-10

Multiply the whole equation with 4:
16x-3*(6-2x) = -40
16x-18+6x = -40
22x = -22
x = -1

Substitute for y:
y= (6-2x)/4 = 2

Answer 4

have you ever had to harvest a rice pattie?

you thought picking apples was crappy work LOL

sorry I am not smart enough to know the answer but your question stuck out at me...