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A. The solution is (−2,−3)

B. infinitely many solutions


C. no solution


D. The solution is (−3,−2)

A. The solution is (−2,−3) B. infinitely many solutions C. no solution D. The solution-example-1
User Oskarkv
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Answer:

D. (-3, -2)

Explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

x = y -1 ⇒ -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

x = y -1 ⇒ -3 = -2 -1 . . . .True

2x = 3y ⇒ 2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

2(y -1) = 3y

2y -2 = 3y . . eliminate parentheses

-2 = y . . . . . . subtract 2y

x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

User LppEdd
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