SOLUTION: 2x+2/3y=4 and x-1/2y=7

Question 218102: 2x+2/3y=4 and x-1/2y=7
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
2x+2y/3=4 or 6x+2y=12 where we multiplied by 3 to both sides of the equation.

and

x-1y/2=7 or 2x-y=14 where we multiplied by 2 to both sides of the equation.

The system of linear equation is now

6x+2y=12
2x-y=14

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 2*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-6. Since , x=4.

Answer: .

where the solutions also satisfies the original equations.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV

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