So are these the correct ordered pairs to the problems. Our teacher told us to find ordered pairs.
1. TX=2x+1,XW=x+7;TW
2. WX=x+5,TW=4x+5:TX
1. (1,8)
2. (3,17)
To determine if the given ordered pairs are correct, we need to substitute the values of x into the expressions and check if they give us the correct values for TW and TX in the first problem, and TX in the second problem. Let's go through each problem step by step.
Problem 1:
Given: TX = 2X + 1, XW = X + 7, find TW.
Substitute X = 1 into the expressions:
TX = 2(1) + 1 = 2 + 1 = 3
XW = 1 + 7 = 8
Therefore, TW = 8.
The given ordered pair is (1, 8), which means TX = 3 and TW = 8. So the ordered pair (1, 8) is correct for the first problem.
Problem 2:
Given: WX = X + 5, TW = 4X + 5, find TX.
Substitute X = 3 into the expressions:
WX = 3 + 5 = 8
TW = 4(3) + 5 = 12 + 5 = 17
Therefore, TX = 8.
The given ordered pair is (3, 17), which means TX = 8 and TW = 17. So the ordered pair (3, 17) is correct for the second problem.
In conclusion, the given ordered pairs are correct for both problems.