Algebra Problems

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

Question 1)

Solve the following equation:

3(x-1)=8

Answer:

3(x-1)=8

3x-3=8

3x=8+3

3x=11

Therefore x = 11/3


Question 2)

Solve the following equation.

6y-5/2y = 7/9

Answer:

6y-5/2y = 7/9

(6y-5) * 9 = 14y (by cross multiplication)

54y-45 = 14y

54y-14y = 45

40y = 45

Y = 45/40

Therefore Y = 9/8

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