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. $6x-2(3x-5)=10$