Answer:
x = 1
Step-by-step explanation:
1/2x - 3/4 = 3/8 - 5/8x
The LCD is 8. Lets change every fraction to a denominator of 8.
4/8x - 6/8 = 3/8 - 5/8x
Now multiply both sides by 8.
4x - 6 = 3 - 5x
Add 5x to both sides. Add 6 to both sides.
9x = 9
Divide both sides by 9.
x = 1
X= larger number
x-6= smaller number
x + (x - 6)= 62
combine like terms
2x - 6= 62
add 6 to both sides
2x= 68
divide both sides by 2
x= 34 larger number
SMALLER NUMBER
x - 6= 34 - 6= 28
ANSWER: The smaller number is 28 and the larger number is 34.
Hope this helps! :)
Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation: