Question

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Solve the following system of equations.

8x + 5y = -105
3x + y = -21

A: x=5 , y=-29
B.X= 0 , Y=-21
C: x= 12 , Y=-57

Answer 1

8x + 5y = -105
3x + y = -21

The easier method would be insert the answer choices into the either of the equations to see if you receive a true statement.

For answer choice A. x=5, y=-29

3(5) + (-29) = -21
15 -29 = -21
-14 = -21          Produces a False statement, so we can eliminate answer A.

For answer choice B. x = 0, y= -21

3(0) + (-21) = -21
    0 - 21 = -21
      -21 = -21    TRUE        Now see it also produces a TRUE for the other.

8(0) + 5(-21) = -105
 0  - 105 = -105
     -105 = -105    TRUE

Since answer choice B. x=0, y=-21 produces true statements for both systems our correct answer choice is B.