Solve the following system of equations. 2x-1/5y=4/5 1/3x-1/2y=-12 x-? y-?

Dottie Parra

Dottie Parra

Answered question

2020-10-27

Solve the following system of equations.
2x15y=45
13x12y=12
x-?
y-?

Answer & Explanation

Margot Mill

Margot Mill

Skilled2020-10-28Added 106 answers

Step 1
Given a system of equations,
2x15y=45...(1)
13x12y=12...(2)
Multiplying (1) by 13 and (2) by 2.
(1)23x115y=415
(2)23xy=24
Step 2
Subtracting these equations,
115y+y=415+24
=36415
Therefore,
y=36415×1514
=26
Substituting y in (1)
2x=45+265
=6
Hence x = 3
Therefore the solution of the system of equation is x=3 and y=26.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

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