147k views
5 votes
4x - 2y =7
X + 2y =3
What are x and y ??

User Pbirkoff
by
6.6k points

2 Answers

7 votes

Answer:

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

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}

User Hmunoz
by
5.2k points
7 votes

4x - 2y = 7

x + 2y = 3

5x = 10

x=2 and y=0

User Anil Sah
by
6.0k points