melanierosin4
melanierosin4 melanierosin4
  • 14-05-2021
  • Mathematics
contestada

Is the point (3, -2) a solution to the following system of equations? How do you know?
y=−3x+7
y=2x−8

Respuesta :

cwayneu
cwayneu cwayneu
  • 14-05-2021

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

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