These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.
Your common denominator is 9x + 9, so
1/(9x+9) = 36/(9x + 9) - (5x + 5)/9
1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3
Hope this helped!
8y - 11y - -2 = -16
-3y + 2 = -16
-3y = -16 - 2 = -18
y = -18/-3 = 6
y = 6
Answer:
x=75, y = 50
Step-by-step explanation:
Solve the following system:
{x + y = 125 | (equation 1)
5 x + 8 y = 775 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 8 y = 775 | (equation 1)
x + y = 125 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 8 y = 775 | (equation 1)
0 x - (3 y)/5 = -30 | (equation 2)
Multiply equation 2 by -5/3:
{5 x + 8 y = 775 | (equation 1)
0 x+y = 50 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{5 x+0 y = 375 | (equation 1)
0 x+y = 50 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 75 | (equation 1)
0 x+y = 50 | (equation 2)
Collect results:
Answer: {x = 75
, y = 50
