Pregunta
Solución de inteligencia artificial de Upstudy
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There are infinitely many solutions where
for any real number
.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
To solve these equations, you can use the substitution or elimination method. Let’s go with elimination! First, we can rewrite the second equation to isolate y:
. Then, substitute this expression for y into the first equation.
You’ll have:
.
This simplifies to , confirming that the equations are dependent. Therefore, any value you choose for x will correspond to a value for y using
.
This simplifies to
For example, if you choose
, then
. The solution set is all points that satisfy the equations, demonstrating that they represent the same line.
This method not only showcases a cool algebraic technique but also emphasizes the importance of understanding the relationships between linear equations! Happy calculating!
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