Solve the system by the method of your choice. 2x = 5y - 9 6x = -7 - 4y Select the correct choice below...

Question

Solve the system by the method of your choice.
2x = 5y - 9
6x = -7 - 4y
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is { }. (Type an integer or a simplified fraction. Type an ordered pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|2x = 5y - 9} or {(x,y)|6x = -7 - 4y}.
C. The solution set is ∅.

SnapAndSolve AI · Accepted Answer

First, let's solve the system of equations:

2x = 5y - 9
6x = -7 - 4y

We can multiply the first equation by 3 to align it with the second equation:

6x = 15y - 27
6x = -7 - 4y

Now, set the equations equal to each other:

15y - 27 = -7 - 4y

Add 4y to both sides:

19y - 27 = -7

Add 27 to both sides:

19y = 20

Divide by 19:

y = 20/19

Substitute y = 20/19 into the first equation:

2x = 5(20/19) - 9

2x = 100/19 - 171/19

2x = -71/19

x = -71/38

The solution set is:

A. The solution set is {(-71/38, 20/19)}.

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Solve the system by the method of your choice. 2x = 5y - 9 6x = -7 - 4y Select the correct choice below...

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