Solving linear equations by substitution

Question

2x=3y and x-y=1

Answer 1

x - y = 1

x = y + 1          add y to both sides

 

2x = 3y

2(y + 1) = 3y    substitute for x

2y + 2 = 3y       distribute

2 = y                subtract 2y from both sides

x = 2 + 1          substitute for y

x = 3                combine like terms

 

(3, 2)