Anthony is solving a system of linear equation using substitution.

Question

6x – 2y = 10
y = 3x – 5

Which equation represents the first step for Anthony to solve the system?



Group of answer choices

a.6x – 2x – 5 = 10

b.6x – 3x – 5 = 10

c.6x – 2(3x – 5) = 10

d.6(3x – 5) – 2y = 10

Answer 1

To solve the system of equations using substitution, Anthony will substitute the expression for \( y \) from the second equation into the first equation.

The first equation is: \[ 6x - 2y = 10 \]

The second equation is: \[ y = 3x - 5 \]

Substituting \( y \) in the first equation gives us: \[ 6x - 2(3x - 5) = 10 \]

Therefore, the correct choice that represents the first step for Anthony to solve the system is:

c. \( 6x - 2(3x - 5) = 10 \)