The equations are (non plotable)

1. 12o+7a=5.36, 8o+5a=3.65

2. 4p+5c+6.71, 5p+3c=7.12

And it is for each and every letter as well.

TheDeathlyHallows Jan 31, 2018

#1**+1 **

1.

12o+7a=5.36

8o+5a=3.65

Multiply the first equation through by 5 and the second through by -7

So we have

60o + 35a = 26.8

-56o - 35a = - 25.55 add these

4o = 1.25 = 5/4 divide both sides by 4

o = 5/16 = .3125

We can find a with any of the equations

8(5/16) + 5a = 3.65

5/2 + 5a = 3.65

2.5 + 5a = 3.65 subtract 2.5 from each side

5a = 1.15 divide both sides by 5

a = .23

So... {o, a} = { .3125, .23 }

CPhill Jan 31, 2018

#2**+1 **

2.

4p+5c=6.71

5p+3c=7.12

Multiply the first equation by 3 and the second by - 5

12p + 15c = 20.13

-25p - 5c = -35.60 add these

-13p = -15.47 divide both sides by -13

p = 1.19

Using any equation to find c, we have

4(1.19) + 5c = 6.71

4.76 + 5c = 6.71 subtract 4.76 from both sides

5c = 1.95 divide both sides by 5

c = 0.39

So .... { p, c } = { 1.19, 0.39}

CPhill Jan 31, 2018