4x - 2y = 7

X + 2y = 3

What are x and y?

4x - 2y = 7

x + 2y = 3

5x = 10

x=2 and y=0

{x, y} = {2,1/2}

Step-by-step explanation:

Solve by Substitution:

1. Solve equation [2] for the variable x

[2] x = - 2y + 3

2. Plug this in for variable x in equation [1]

[1] 4• (-2y+3) - 2y = 7

[1] - 10y = - 5

3. Solve equation [1] for the variable y

[1] 10y = 5

[1] y = 1/2

By now we know this much:

x = - 2y+3

y = 1/2

4. Use the y value to solve for x

x = - 2 (1/2) + 3 = 2

Solution:

{x, y} = {2,1/2}