Question

{4x+3y=36,} {-4x+7y=6}

Answer 1

Пошаговое объяснение:

4х + 3у =36

-4х + 7у = 6

10у = 42

4х + 3у = 36

1)

10у = 42

у = 42 : 10

у = 4,2

2)

4х + 3у = 36

4х + 3*4,2 = 36

4х + 12,6 = 36

4х = 36 - 12,6

4х = 23,4

х = 23,4 : 4

х = 5,85

Ответ: (5,85; 4,2)

Answer 2

To solve this system of linear equations:

1. 4x + 3y = 36
2. -4x + 7y = 6

You can use the method of elimination or substitution. Let's use the elimination method:

First, we'll add both equations together to eliminate the x variable:

(4x + 3y) + (-4x + 7y) = 36 + 6

This simplifies to:

3y + 7y = 42

Combine like terms:

10y = 42

Now, divide both sides by 10 to solve for y:

10y/10 = 42/10 y = 4.2

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation (4x + 3y = 36):

4x + 3(4.2) = 36

Now, multiply 3 by 4.2:

4x + 12.6 = 36

Subtract 12.6 from both sides:

4x = 36 - 12.6 4x = 23.4

Finally, divide both sides by 4 to solve for x:

4x/4 = 23.4/4 x = 5.85

So, the solution to the system of equations is: x = 5.85 y = 4.2