Pregunta
Ask by Goodwin Davison. in Saudi Arabia
Mar 16,2025
Solución de inteligencia artificial de Upstudy
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The system has infinitely many solutions.
Solución
Solve the system of equations
Solve the system of equations by following steps:
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Substitute the value of
- step2: Simplify:
- step3: Calculate:
- step4: Alternative Form:
The system of equations has infinitely many solutions. This means that there are an infinite number of pairs of values forand that satisfy both equations simultaneously.
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Simplifique esta solución The Deep Dive
To solve the system of equations, we can use substitution or elimination. Let’s use substitution since
From the first equation, we know that:
Now we can substitute this expression for
Expanding this gives:
Notice that the
This is a true statement, indicating that the system has infinitely many solutions. We can express the solution in terms of
for any real number
In summary, the solution set is:
where
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