Find the ordered pair (s,t) that satisfies the system of equations
s/4 - 2t = 2
4t - 5s = 9
Multiply first equation by 2 to get
s/2 - 4t = 4 add to second equation to get
-4 .5 s = 13
s = - 2.89 ( or - 26 /9)
Use this value of s in one of the equations to calc 't'
(-26/9) / 4 - 2t = 2
t = -98/72 = - 49/36
s/4 -2t = 2 multiply through by 4 ⇒ s - 8t = 8 ⇒ s = 8 + 8t
Sub this into the second equation for s
4t - 5(8+ 8t) = 9 simplify
4t - 40 - 40t = 9
-36t = 9 + 40
-36t = 49
t = -49/36
And s = 8 + 8(-49/36) = -26/9
