SOLUTION: Solving systems by substitution: use substitution to slve each system of equations. Check your solution: {3t-r=9 {r=2t+8

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Solving systems by substitution: use substitution to slve each system of equations. Check your solution: {3t-r=9 {r=2t+8      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 109778This question is from textbook Algebra 2
: Solving systems by substitution:
use substitution to slve each system of equations. Check your solution:
{3t-r=9
{r=2t+8This question is from textbook Algebra 2

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
1.3t-r=9
2.r=2t%2B8
Substitute equation 2 into equation 1 and solve for t.
1.3t-r=9
3t-%282t%2B8%29=9
3t-2t-8=9
t-8=9
t-8%2B8=9%2B8
t=17
From equation 2,
2.r=2t%2B8
r=2%2817%29%2B8
r=34%2B8
r=42
Check your solution.
1.3t-r=9
3%2817%29-42=9
51-42=9
9=9
True statement.
2.r=2t%2B8
42=2%2817%29%2B8
42=34%2B8
42=42
True statement.
Since both answers lead to true statements,
they are good answers.