Step-by-step explanation:
Let x be the miles Kenyon ran on tuesday
Let y be the miles Kenyon ran on thursday
Given,
Mon + Tues + Wed + Thu = 8mi
[tex]1.2 + x + 1.6 + y = 8 \\ 2.8 + x + y = 8 \\ x + y = 8 - 2.8 \\ x + y = 5.2[/tex]
also given,
[tex]y = x + 0.4 \\ - x + y = 0.4[/tex]
Now we have x + y = 5.2 as equation 1 and -x + y = 0.4 as equation 2
Using equation 1,
[tex]x + y = 5.2 \\ x = 5.2 - y[/tex]
Substitute this equation into equation 2.
[tex] - (5.2 - y) + y = 0.4 \\ - 5.2 + y + y = 0.4 \\ - 5.2 + 2y = 0.4 \\ 2y = 0.4 + 5.2 \\ 2y = 5.6 \\ y = 5.6 \div 2 \\ = 2.8mi[/tex]
Substitute y = 2.8 into equation 1.
[tex]x + 2.8 = 5.2 \\ x = 5.2 - 2.8 \\ = 2.4mi[/tex]
Therefore Kenyon ran 2.4 miles on tuesday, and ran 2.8 miles on thursday.
