SOLUTION: Chains support a​ crate, as shown on the right. The equations relating tensions Upper T1 and Upper T2 are given below. Determine the tensions to the nearest 1N from the grap

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Chains support a​ crate, as shown on the right. The equations relating tensions Upper T1 and Upper T2 are given below. Determine the tensions to the nearest 1N from the grap      Log On


   

Question 1099988: Chains support a​ crate, as shown on the right. The equations relating tensions Upper T1 and Upper T2 are given below. Determine the tensions to the nearest 1N from the graph.
0.6T1-0.4T2=16
0.4T1+0.6T2=64
What is the solution to T1 and T2? (round to the nearest whole number as needed)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 0.4*T2 to the right, we get:
0.6%2AT1+=+16+-+0.4%2AT2, or T1+=+16%2F0.6+-+0.4%2AT2%2F0.6. Substitute that
into another equation:
0.4%2A%2816%2F0.6+-+0.4%2AT2%2F0.6%29+%2B+0.6%5CT2+=+64 and simplify: So, we know that T2=160. Since T1+=+16%2F0.6+-+0.4%2AT2%2F0.6, T1=-80.

Answer: system%28+T1=-80%2C+T2=160+%29.