Question
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uestion
ind the solution of the system of
quations.

Ask by Delgado Sullivan. in the United States
Mar 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

La solución es y .

Solution

Solve the system of equations .
Solve the system of equations by following steps:
  • step0: Solve using the substitution method:
  • step1: Solve the equation:
  • step2: Substitute the value of
  • step3: Simplify:
  • step4: Multiply both sides of the equation by LCD:
  • step5: Simplify the equation:
  • step6: Move the constant to the right side:
  • step7: Subtract the numbers:
  • step8: Divide both sides:
  • step9: Divide the numbers:
  • step10: Substitute the value of
  • step11: Calculate:
  • step12: Calculate:
  • step13: Check the solution:
  • step14: Rewrite:

    La solución del sistema de ecuaciones es .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Bonus Knowledge

To find the solution of the system of equations, you can use either the substitution method or the elimination method. Let’s use elimination! First, multiply the second equation by 5 to align the coefficients of x:
Now, add the two equations:
This simplifies to:
Now, rearranging gives us:
Now we’ll return to the original second equation. Let’s express in terms of using the second equation:
Now substitute this expression into equation (1):
Multiply everything by 3 to eliminate the fraction:
Expanding:
Combining like terms:
Thus,
Now substitute back into the expression for :
So, the solution of the system of equations is .

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