Solve advanced linear equations
Key Notes :
Like terms are terms that have the same variables raised to the same powers. To add like terms, add their coefficients.
Learn with an example
Solve for u.
2u + 8u − 1 = 9
u = ________
Combine the u terms:
2u+8u-1=9
10u-1=9
Use inverse operations to isolate the variable. Add 1 to both sides:
10u-1+1=9+1
10u=10
Divide by 10 to solve for u:
10u/10=10/10
u=1
The answer is 1.
Solve for x.
3x − 2x − 1 = 4
x = ________
x is the same as 1x.
Combine the x terms:
3x-2x-1=4
x-1=4
Use inverse operations to isolate the variable. Add 1 to both sides:
x-1+1=4+1
x=5
The answer is 5.
Solve for q.
17q − 10q − 4 = 10
q =________
Combine the q terms:
17q − 10q − 4=10
7q-4=10
Use inverse operations to isolate the variable. Add 4 to both sides:
7q-4+4=10+4
7q=14
Divide by 7 to solve for q:
7q/7=14/7
q=2
The answer is 2.
let’s practice!
