7x^2+5y^2=35

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Solution for 7x^2+5y^2=35 equation:


Simplifying
7x2 + 5y2 = 35

Solving
7x2 + 5y2 = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y2' to each side of the equation.
7x2 + 5y2 + -5y2 = 35 + -5y2

Combine like terms: 5y2 + -5y2 = 0
7x2 + 0 = 35 + -5y2
7x2 = 35 + -5y2

Divide each side by '7'.
x2 = 5 + -0.7142857143y2

Simplifying
x2 = 5 + -0.7142857143y2

Reorder the terms:
-5 + x2 + 0.7142857143y2 = 5 + -0.7142857143y2 + -5 + 0.7142857143y2

Reorder the terms:
-5 + x2 + 0.7142857143y2 = 5 + -5 + -0.7142857143y2 + 0.7142857143y2

Combine like terms: 5 + -5 = 0
-5 + x2 + 0.7142857143y2 = 0 + -0.7142857143y2 + 0.7142857143y2
-5 + x2 + 0.7142857143y2 = -0.7142857143y2 + 0.7142857143y2

Combine like terms: -0.7142857143y2 + 0.7142857143y2 = 0.0000000000
-5 + x2 + 0.7142857143y2 = 0.0000000000

The solution to this equation could not be determined.

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