Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Solving One-Step Equations

Solving One-Step Equations 1.3 - Solution

arrow_back Return to Solving One-Step Equations
a
To solve the equation, we need to isolate xx on one side of the equation. Subtracting 22 from both sides will "cancel" it from the right-hand side.
6=x+26=x+2
62=x+226-2=x+2-2
4=x4=x
x=4x=4
b
To solve the equation we have to isolate xx on one side. By adding 1111 to both sides, we can cancel out -11\text{-} 11 and isolate q.q.
q11=-9q-11=\text{-}9
q11+11=-9+11q-11+11=\text{-}9+11
q=2q=2
c
To solve the equation we have to isolate yy on one side of the equation. By dividing both sides of the equation by -7,\text{-}7, we can remove the coefficient on the left-hand side.
-7y=28\text{-}7y=28
-7y-7=28-7\dfrac{\text{-}7y}{\text{-}7}=\dfrac{28}{\text{-}7}
y=28-7y=\dfrac{28}{\text{-}7}
y=-287y=\text{-}\dfrac{28}{7}
y=-4y=\text{-}4
d
By multiplying both sides of the equation by 2,2, we can eliminate the denominator and isolate z.z.
14=z214=\dfrac{z}{2}
142=z2214\cdot 2=\dfrac{z}{2}\cdot 2
142=z14\cdot 2=z
28=z28=z
z=28z=28