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for 5-8, solve each system of equations using the method (substitution method or elimination method)of your choice. 5. ) x=2-3y x+2y=0

Question

For 5-8, Solve each System of Equations using the method (Substitution Method or Elimination Method)of your choice. 5. ) x=2-3y x+2y=0 6. 3x+6y=15 and 2x+4y=3

Solution

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4 (259 Votos)
Alex Profissional · Tutor por 6 anos

Resposta

Let's solve each system of equations using the appropriate method.### Problem 5Given the system: We will use the **Substitution Method** for this problem.1. From the first equation, we already have expressed in terms of : 2. Substitute into the second equation: 3. Simplify and solve for : 4. Substitute back into the first equation to find : So, the solution to the system is: ### Problem 6Given the system: We will use the **Elimination Method** for this problem.1. First, let's multiply the second equation by 1.5 to make the coefficients of in both equations equal: 2. Now we have the system: 3. Subtract the second equation from the first equation: This results in a contradiction, which means that there is no solution to this system of equations. The lines represented by these equations are parallel and do not intersect.So, the system has **no solution**.