7x - 3y = 42x - 4y = 1the solution to the system of equations is _____.

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05-11-2017
Mathematics

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7x - 3y = 42x - 4y = 1the solution to the system of equations is _____.

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mathstudent55 mathstudent55 · Answer 1 · 2017-11-05T08:39:48+01:00

mathstudent55 mathstudent55

05-11-2017

7x - 3y = 4
2x - 4y = 1

Multiply the first equation by 4.
Multiply the second equation by -3

28x - 12y = 16
-6x + 12y = -3

Now add the equations.

22x = 13

x = 13/22

Now substitute x = 13/22 in the first original equation and solve for y.

7 * 13/22 - 3y = 4

91/22 - 3y = 88/22

-3y = -3/22

y = 1/22

Answer: x = 13/22, y = 1/22

y = 3/22

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