How do solve the following linear system?: 3s + 4 = -4t, 7s + 6t + 11 = 0 ?

2 Answers
Jul 5, 2018

s=-2 and t=1/2

Explanation:

From first equation, s=(-4t-4)/3.

After plugging value of s into second one,

7*(-4t-4)/3+6t+11=0

(-28t-28+18t+33)/3=0

(5-10t)/3=0

5-10t=0

10t=5, so t=5/10=1/2

Thus, s=((-4)*1/2-4)/3=-2

Jul 5, 2018

Your answer is -28/10=t

Explanation:

Here we have two equation
1) 3s + 4 = - 4t
2) 7s + 6t = 0

using equation 2 to find value of s

7s+ 6t = 0
7s=-6t
s=-(6t)/7 ....(equation3)

Now put value of s in eq 1

3((-6t)/7) + 4 =-4t

(-18t+28)/7=-4t

-18t+28=-28t

28= -28t+18t

28=-10t

-28/10=t

Now put value of t in equation 3

s=-(6(-28/10))/7

s=6(28/70)