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)

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