Question

7x - 2 = 2y 3x = 2y - 1

Solve the system of equations by substitution.

(3/4, 13/8), (1/4, -1/8), no solution, coincident

Answer 1

7x - 2 = 2y

7x = 2y + 2

so

7x = 2y + 2

3x = 2y - 1

----------------subtract

4x = 3

x = 3/4

7x - 2 = 2y

7(3/4) - 2 = 2y

21/4 - 2 = 2y

21/4 - 8/4 = 2y

13/4 = 2y

so

y = 13/4 * 1/2

y = 13/8

answer

(3/4, 13/8)

Explanation:

Answer 2

7x - 2 = 2y
7x = 2y + 2
so
7x = 2y + 2
3x = 2y - 1
----------------subtract
4x = 3
x = 3/4

7x - 2 = 2y
7(3/4) - 2 = 2y
21/4 - 2 = 2y
21/4 - 8/4 = 2y
13/4 = 2y
so
y = 13/4 * 1/2
y = 13/8

answer
(3/4, 13/8)