2x+1=3 (y-1)

6 (2y-1) = 5x

Find values of x and y

x = - 10/3

y = - 8/9

Step-by-step explanation:

2x+1=3 (y-1); 6 (2y-1) = 5x

Rewrite equations:

2x+1=3y-3; 12y-6=5x

Step: Solve2x+1=3y-3for x:

2x+1=3y-3

2x+1+-1=3y-3+-1 (Add - 1 to both sides)

2x=3y-4

2x2=3y-42 (Divide both sides by 2)

x=32y-2

Step: Substitute32y-2forxin12y-6=5x:

12y-6=5x

12y-6=5 (32y-2)

12y-6=152y-10 (Simplify both sides of the equation)

12y-6+-152y=152y-10+-152y (Add (-15) / 2y to both sides)

92y-6=-10

92y-6+6=-10+6 (Add 6 to both sides)

92y=-4

92y92=-492 (Divide both sides by 9/2)

y=-89

Step: Substitute-89foryinx=32y-2:

x=32y-2

x=32 (-89) - 2

x=-103 (Simplify both sides of the equation)

Answer:x=-103