Question

7х + 3*(у-х)-(4х - 7 у) = 5

Answer 1

7х+3у-3х-4х+7у=5
10у=5
у=10/5
у=2

Answer 2

7x+3y-3x-4x+7y=5
10y=5
y=0,5

Answer 3

To solve the equation 7x + 3*(y-x) - (4x - 7y) = 5, we can simplify and solve for the variables x and y.

Let's simplify the equation step by step:

7x + 3*(y-x) - (4x - 7y) = 5

Distribute the multiplication:

7x + 3y - 3x - 4x + 7y = 5

Combine like terms:

(7x - 3x - 4x) + (3y + 7y) = 5

Simplify:

0x + 10y = 5

10y = 5

Divide both sides by 10:

y = 5/10

Simplify:

y = 1/2

Now that we have the value of y, we can substitute it back into the original equation to solve for x:

7x + 3*(1/2 - x) - (4x - 7*(1/2)) = 5

Simplify:

7x + (3/2 - 3x) - (4x - 7/2) = 5

Distribute the negative sign:

7x + 3/2 - 3x - 4x + 7/2 = 5

Combine like terms:

(7x - 3x - 4x) + (3/2 + 7/2) = 5

Simplify:

0x + 10/2 = 5

10/2 = 5

5 = 5

The equation simplifies to 5 = 5, which is a true statement. This means that any value of x will satisfy the equation. Therefore, there is no unique solution for x, and the equation is true for all values of x when y = 1/2.