Anthony is solving a system of linear equation using substitution.
 
6x−2y=10
y=3x−5

Which equation represents the first step for Anthony to solve the system?
A.6x−3x−5=10

B.6(3x−5)−2y=10

C.6x−2(3x−5)=10

D.6x−2x−5=10


To solve the system of linear equations using substitution, Anthony would substitute the expression for \( y \) from the second equation \( y = 3x - 5 \) into the first equation \( 6x - 2y = 10 \).

### First step:
1. Replace \( y \) in the first equation with \( 3x - 5 \).
   \[
   6x - 2(3x - 5) = 10
   \]

So, the correct equation that represents the first step is:
**C. \( 6x - 2(3x - 5) = 10 \)**.

Would you like a detailed step-by-step explanation of solving this system?

### 5 Related Questions:
1. What happens after the substitution step in solving the system?
2. How do you eliminate variables when using substitution?
3. What is the difference between substitution and elimination methods?
4. How would this system of equations be solved using elimination instead of substitution?
5. How can you check the solution once the values for \( x \) and \( y \) are found?

### Tip:
Always substitute the expression carefully to avoid simple sign mistakes when distributing terms.

Anthony is solving a system of linear equations using substitution.

6x−2y=10
y=3x−5

Which equation represents the first step for Anthony to solve the system?
A.6x−3x−5=10
B.6(3x−5)−2y=10
C.6x−2(3x−5)=10
D.6x−2x−5=10

Learn how to solve the system of linear equations 6x−2y=10 and y=3x−5 using substitution. This problem explains how to substitute and simplify step-by-step, ideal for students in Grades 8-10.

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