When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.
Hence, the system of equations
x + 4y = 2
7x = 14
will also have a solution of (2, 0).
Answer: x=7
Step-by-step explanation:
Simplifying
8 + 2x = 6x + -20
Reorder the terms:
8 + 2x = -20 + 6x
Solving
8 + 2x = -20 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
8 + 2x + -6x = -20 + 6x + -6x
Combine like terms: 2x + -6x = -4x
8 + -4x = -20 + 6x + -6x
Combine like terms: 6x + -6x = 0
8 + -4x = -20 + 0
8 + -4x = -20
Add '-8' to each side of the equation.
8 + -8 + -4x = -20 + -8
Combine like terms: 8 + -8 = 0
0 + -4x = -20 + -8
-4x = -20 + -8
Combine like terms: -20 + -8 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
Answer:
no
Step-by-step explanation:
You can write an improper fraction and mixed numbers