Question

Solve the system of equations. (3x + 4y = 5) (2x - 3y = -8)
A)y = -x = 2
B)x = -1, y = 2
C)x = -4, y = 0
D)x = 3, y = -1

Answer 1

Answer:

the solution is (-1, 2)

Step-by-step explanation:

Let's solve the system

(3x + 4y = 5)

(2x - 3y = -8)

using the method of elimination by addition and subtraction.  Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:

  9x + 12y = 15

  8x - 12y  = -32

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 17x       = - 17, so x = -1.  

Replacing x in the second equation by -1, we get:

2(-1) - 3y = -8, or

2 + 3y = 8,

or 3y = 6.  Thus, y = 2, and the solution is (-1, 2).