Estimate the solution to the following system of equations by graphing.
-4x+5y=8
6x-y=11



A. (1/2 , 3/2)

B. (5/2 , 7/2)

C. (-4/3, 8/3)

D. (-5/2, -7/2)

Respuesta :

Answer:

  B. (5/2 , 7/2)

Step-by-step explanation:

The graph shows the solution to be about (2.4, 3.5), a reasonable match with choice B, (2.5, 3.5).

_____

If you consider the intercepts, you see that the first equation has intercepts at x=-2, y=1.6, and the second equation has intercepts at x=1 5/6 and y=-11. If you think about this for a minute, you realize the lines must cross in the first quadrant at a point with an x-value more than 1 5/6, and a y-value more than 1.6.

Only one answer choice matches.

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