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Answer
La solución es
Solution
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Solve the equation:
- step2: Substitute the value of
- step3: Add the terms:
- step4: Move the constant to the right side:
- step5: Subtract the terms:
- step6: Substitute the value of
- step7: Substitute back:
- step8: Calculate:
- step9: Check the solution:
- step10: Rewrite:
Para resolver el sistema de ecuaciones:
Podemos utilizar el método de eliminación o sustitución. Aquí, el resultado es:
Esto significa que la solución del sistema es
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To solve the system of equations given, we can first use substitution or elimination. Let’s solve for
Rearranging gives
These equations can be quite useful in fields like economics or engineering, where systems of linear equations model constraints or relationships. For example, they could represent a budget constraint (where
When working with equations, it’s easy to make simple mistakes. One common issue is misapplying the substitution, like forgetting to distribute correctly when substituting values. Always double-check your arithmetic and rearrangements, and consider graphing the equations for a visual confirmation of your solution!
