How do you solve and check your solutions to #7=t/-7#?

Question

Genesis Allen · Accepted Answer

See a solution process below:

Multiply each side of the equation by #color(red)(-7)# to solve for #t# while keeping the equation balanced: #color(red)(-7) xx 7 = color(red)(-7) xx t/-7# #-49 = cancel(color(red)(-7)) xx t/color(red)(cancel(color(black)(-7)))# #-49 = t# #t = -49# To check the solution we need to substitute #-49# for #t# in the original equation and calculate the right side of the equation: #7 = t/-7# becomes: #7 = (-49)/-7# Seven is 7.

Abigail Allen · Answer

#t=-49#

Your equation can be put in the following order (by multiplying both sides by -7):

# 7times(-7) = (t/-7)times-7#

after which you could write:

#-49 = t#

That's your response.

#t = -49#

The result of dividing t by -7 is

#-49/-7#

You obtain

#=(-7times7)/-7 = 7# which is equal to the first term (7) in your original equation.

It explains everything, I suppose.

Eva Abramson · Answer

undefined To solve the equation $7 = \frac{t}{-7}$, first, multiply both sides of the equation by $-7$ to isolate $t$. You get $t = -7 \times 7 = -49$. To check the solution, substitute $t = -49$ back into the original equation: $7 = \frac{-49}{-7}$. Simplify this to $7 = 7$, which confirms that $t = -49$ is the correct solution.