What is the value of 3t+7 when you know -21t+1=3
I need to know how to figure this out not just the answer. Thank you
3/3 + 7/3
t= 2.3333333333333
we know -21t+1=3
-21t = 2
t = -2/21
then 3t+7
= 3(-2/21) + 7
= -2/7 + 7
= 47/7
To find the value of 3t + 7, we first need to solve the given equation -21t + 1 = 3 for t.
1. Start by isolating the variable term on one side of the equation. In this case, let's move the constant term to the other side:
-21t = 3 - 1
-21t = 2
2. Next, divide both sides of the equation by the coefficient of t (-21) to solve for t:
t = 2 / -21
Simplifying the right side:
t = -2/21
Now that we know the value of t, we can substitute it into the expression 3t + 7 to find its value:
3t + 7
= 3 * (-2/21) + 7
= -6/21 + 7
= -2/7 + 7
= -2/7 + 49/7
= (49 - 2) / 7
= 47 / 7
Therefore, the value of 3t + 7 when -21t + 1 = 3 is 47/7.