Question

1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1​

Answer 1

9514 1404 393

Answer:

  (x, y) = (2, -1)

Step-by-step explanation:

A graphing calculator can find a solution quickly. (see attached)

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The first equation can give an expression for y:

  y = 3x -7

We can substitute this into the second equation:

  2x +3(3x -7) = 1

  11x -21 = 1 . . . . . . simplify

  11x = 22 . . . . . . . add 21

  x = 2 . . . . . . . divide by 2

  y = 3(2) -7 = -1 . . . . using our equation for y

The solution is (x, y) = (2, -1).