The dimensions for the two lengths are 3x+7y 8x+4y+2 the two breath are 3x+4y-4 7x+y. Slove simultaneously

Answer 1

To solve the system of equations, we will set the two lengths equal to each other and the two breadths equal to each other.

Set the two lengths equal to each other:
3x + 7y = 8x + 4y + 2

Simplify the equation:
3x - 8x = 4y - 7y + 2
-5x = -3y + 2
5x = 3y - 2
y = (5/3)x - 2/3

Now, set the two breadths equal to each other:
3x + 4y - 4 = 7x + y

Simplify the equation:
-4x + 3y - 4 = 0
-4x + 3((5/3)x - 2/3) - 4 = 0
-4x + 5x - 2 - 4 = 0
x - 6 = 0
x = 6

Substitute the value of x into the equation for y
y = (5/3)(6) - 2/3
y = 30/3 - 2/3
y = 28/3

Therefore, the value of x is 6 and the value of y is 28/3.