If [tex]x^2 - y^2 = 55[/tex], and [tex]x - y = 11[/tex], then [tex]y =[/tex]

To solve for y given that x² - y² = 55, and x - y = 11, we can use substitution or algebraic manipulation. The second equation can be rewritten as x = y + 11. Substituting this into the first equation, we get (y + 11)² - y² = 55, which simplifies to y² + 22y + 121 - y² = 55. The y² terms cancel out, leaving us with 22y + 121 = 55. Subtracting 121 from both sides gives 22y = -66, and dividing both sides by 22 yields y = -3.

Answered by MonteBlue | 2024-06-24

By substituting x = y + 11 into the equation x 2 − y 2 = 55 and simplifying, we find that y = − 3 .
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Answered by MonteBlue | 2024-12-23