How do you solve and check your solutions to #-3.2+z=-7.4#?

1 Answer
May 13, 2017

Answer:

See a solution process below:

Explanation:

To solve, add #color(red)(3.2)# to each side of the equation to solve for #z# while keeping the equation balanced:

#color(red)(3.2) - 3.2 + z = color(red)(3.2) - 7.4#

#0 + z = -4.2#

#z = -4.2#

To check the solution substitute #color(red)(-4.2)# for #color(red)(z)# in the original equation and calculate the left side of the equation to ensure it equals #-7.4#:

#-3.2 + color(red)(z) = -7.4# becomes:

#-3.2 + color(red)(-4.2) = -7.4#

#-7.4 = -7.4#

Because both sides of the equation are equal this is the correct solution.