Question

completed the chart for ordered pairs .Using the equation* reduce all fractions to the lowest terms.Given equation: 10 x- 8y =16x tea chart : __,0,2,__y tea chart: 0,__,__,4fil in the blanks

Answer 1

-When y = 0 :

10*x -8*0 = 16 (Replacing y=0)

10x = 16 (Multiplying)

x = 16/10 (Dividing on both sides of the equation by 10)

x= 8/5 (Simplifying)

- When x= 0:

10*0 -8*y = 16 (Replacing x=0)

-8y = 16 (Multiplying)

y= 16/(-8) (Dividing on both sides of the equation by -8)

y= -2 (Dividing)

- When x= 2

10*2 -8*y = 16 (Replacing x=2)

20 - 8y = 16 (Multiplying)

20 = 16 + 8y (Adding 8y to both sides of the equation)

20 - 16 = 8y (Subtracting 16 from both sides of the equation)

4 = 8y (Subtracting)

4/8 = y (Dividing on both sides of the equation by 8)

1/2 = y (Simplifying)

- When y= 4

10*x -8*4 = 16 (Replacing y=4)

10 x - 32 = 16 (Multiplying)

10x = 32 + 16 (Adding 32 to both sides of the equation)

10x=48 (Adding)

x = 48/10 (Dividing on both sides of the equation by 10)

x=24/5 (Simplifying)

So, the complete chart would be:

x tea chart : 8/5,0,2, 24/5

y tea chart: 0,-2,1/2,4