1. The slope is -2/5 not 3-/10
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
The wording is confusing but I am going to guess it is 5(n+1)=2(n+7). So 5xn=5n and 5x1=5. 5n+5=2(n+7). Then 2xn=2n and 2x7=14. The question now stands 5n+5=2n+14. Then 5n+2n=7n and 14-5=9. So, you have 7n=9. Then you divide both sides by 7 and get n=1.2857...
