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
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**.