Rashid solves the following system of equations using the elimination method. 6x−5y=−31

5x+3y=10

What value does he correctly determine for x?

Enter you answer in the box. x =

  x = -1

Step-by-step explanation:

Rashid may have used elimination to solve the problem, but we can use any method we like to find the correct value of x. One method we like is graphing. The attached graph shows the solution is (x, y) = (-1, 5), so we know Rashid found ...

  x = -1

__

If we go down Rashid's path, we multiply the first equation by 3 and add that to the second equation multiplied by 5. (This choice of multipliers results in a positive coefficient for x.)

  3(6x -5y) +5(5x +3y) = 3(-31) +5(10)

  18x -15y +25x +15y = -93 +50 . . . . . . eliminate parentheses

  43x = -43 . . . . . . . . . . . . . . . . . simplify

  x = -1 . . . . . . . . . . . . . . . . . divide by 43

3,000,540

step-by-step explanation: