Question
Do Now:
Solve the problem below using BOTH elimination and substitution
ㅍmination Method
Substitution Method
| Do Now: | ||||||||
| Solve the problem below using BOTH elimination and substitution | ||||||||
| ㅍmination Method | ||||||||
|
Ask by Vega Chang. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La solución del sistema de ecuaciones es
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To solve the system of equations using the elimination method, we can first write the equations in a more organized way:
-
(Equation A) -
(Equation B)
Next, we can eliminate
- Multiply Equation A by 5:
- Multiply Equation B by 3:
Now, we have:
Next, we add them:
This simplifies to:
Dividing both sides by 24 gives:
Now substitute
This simplifies to:
To clear the fraction, multiply everything by 6:
Subtracting 51 from both sides results in:
Dividing both sides by 18 yields:
Thus, the solution using the elimination method is
Now, for the substitution method, we start from the original equations and isolate one variable. Let’s isolate
Starting with
Now, substitute
Distributing gives:
Clearing the fraction by multiplying by 3 results in:
Simplifying this gives:
Adding 80 to both sides yields:
Thus,
Calculating gives:
Therefore, we confirm that the solution is
