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Which of the ordered pairs (6, 1), (10, 0), (6, –1), (–22, 8) are solutions for the equation x + 4y = 10?

Answer 1

Avery Alexander

#S={(6,1);(10,0);(-22,8)}#

An ordered pair is solution for an equation when your equality is true for this pair.

Let #x+4y=10# , # # # # # # Is #(6,1)# a solution for #x+4y=color(green)10# ?

Replace in the equality #color(red)x# by #color(red)6# and #color(blue)y# by #color(blue)1#

#x+4y=color(red)6+4*color(blue)1color(green)(=10)#

Yes, #(6,1)# is a solution of #x+4y=10# # # # # # # Is #(6,-1)# a solution for #x+4y=10# ?

Replace in the equality #color(red)x# by #color(red)6# and #color(blue)y# by #color(blue)(-1)#

#x+4y=color(red)6+4*color(blue)((-1))=color(grey)2color(red)!=color(grey)10#

No, #(6,-1)# isn't a solution of #x+4y=10# # # # # For training, you can check that #(10,0)# and #(-22,8)# are solutions of #x+4y=10#.

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Answer 2

Hazel Anglin

The ordered pair (6, -1) is the only solution for the equation x + 4y = 10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.