complete the following ordered pairs for the equation 2x-5y=17 (1,_) (_,-1) (-4,_)

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

2x-5y = 17

For the first pair:

(1, _)   we are given x-value, then we need to determine y-value:

==> 2x - 5y = 17

==> 2*1 - 5y = 17

==> 2-5y = 17

==> 5y = -15

==> y= -3

==> the pair is (1, -3)

 

For the second pair: (_,-1)

x-value i unknown and y-value is given -1:

==> 2x - 5y = 17

==> 2x - 5*-1 = 17

==> 2x +5 = 17

==> 2x = 12

==> x= 6

Then the second pair is: (6, -1)

 

The third pair: (-4, _)

x value is -4, we need y:

2x -5y = 17

2*-4 -5y = 17

-8 - 5y = 17

-5y = 25

==> y= -5

Then the third pair is (-4, -5)

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

2x-5y = 17. To complete the ordered pairs which satisfy the equation: (1, ...), (..., -1) , (-4 , ...)

We substitut  the one coordinate inthe respective variable  of the equation and solve for the other variable.

(1 , ... ) : We substitute x = 1 , in 2x-5y=17 and find the y vaue:

2*1-5y = 17. Or -5y =17-2 =  15. Or y = 15/-5 = -3

(... , -1): We substitute y = -1 in 2x-5y = 17 and solve for x: (2x-5(-1) = -19. So 2x  +5 = 17. Or 2x = 17-5 = 12. Or x = 12/2 = 6.

((-4, ...): To find the missing y coordinate  we put x = -4 in 2x-5y = 17 and solve for x. 2(-4)-5y = 17. Or -8-5y = 17. Or -5y = 17+8=25. Or y = 25/-5 = -5.

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