Question

Solve the linear system by using Substitution. Enter your answer as an ordered pair

y=x+2
2x+ y = 8
A. (2, 4)
B. (3, 5)
C. (4, 6)
D. (5, 7)

Answer 1

The solution to the given linear system by using substitution is the ordered pair (2, 4), which corresponds to answer choice A.

Step-by-step explanation:

To solve the linear system using Substitution, we take the given equations:

• 
  
• y = x + 2
• 
  
• 2x + y = 8

First, we substitute the expression for y from the first equation into the second equation:

2x + (x + 2) = 8

Combining like terms, we get:

3x + 2 = 8

Subtracting 2 from both sides, we have:

3x = 6

Dividing both sides by 3, we get:

x = 2

Now, we substitute x back into the first equation to find y:

y = (2) + 2 = 4

So the solution to the system of equations is the ordered pair (2, 4), which corresponds to answer choice A.