Question

Use the Echelon Method 1. Solve x + 3y = 7 3x + 4y = 11

Answer 1

Answer:

x = 1     y = 2

Step-by-step explanation:

x + 3y = 7

- Subtract x from both sides.

3y = -x + 7

- Divide both sides by 3 to isolate the variable.

y = -1/3x + 7/3

- Plug the value of y into the other equation.

3x + 4(-1/3x + 7/3) = 11

3x - 4/3x + 28/3 = 11

- Add like terms.

5/3x + 28/3 = 11

5/3x = 5/3

x = 1

- Plug the value of x into the equation.

x + 3y = 7

(1) + 3y = 7

3y = 6

y = 2