MATH SOLVE

5 months ago

Q:
# 7x - 2 = 2y 3x = 2y - 1 Solve the system of equations by substitution. (3/4, 13/8), (1/4, -1/8), no solution, coincident

Accepted Solution

A:

7x - 2 = 2y

7x = 2y + 2

so

7x = 2y + 2

3x = 2y - 1Β

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

4x = 3

Β 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)

7x = 2y + 2

so

7x = 2y + 2

3x = 2y - 1Β

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

4x = 3

Β 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)