Question

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

y = x + 2
2x + y = 8

Answer 1

2x+1x+2=8
3x+2=8
-2 -2
3x=6
divide 3 on both sides
x= 2

Answer 2

Answer: {y,x} = {4,2} ) ) ) )4

Step-by-step explanation: y

[2] y = -2x + 8

// Plug this in for variable y in equation [1]

[1] (-2x+8) - x = 2

[1] - 3x = -6

// Solve equation [1] for the variable x

[1] 3x = 6

[1] x = 2

// By now we know this much :

y = -2x+8

x = 2

// Use the x value to solve for y

y = -2(2)+8 = 4

Solution :

{y,x} = {4,2}