Answer:
q=4/3
Step-by-step explanation:
simplify the right side, to 5/3
5/4q=5/3
multiply 4/5 on both sides
q = 5/3*4/5
q = 4/3
Answer:
x = -4
Step-by-step explanation:
Solve for x:
3 x - 5 x + 2 = 10
Grouping like terms, 3 x - 5 x + 2 = 2 + (3 x - 5 x):
2 + (3 x - 5 x) = 10
3 x - 5 x = -2 x:
-2 x + 2 = 10
Subtract 2 from both sides:
(2 - 2) - 2 x = 10 - 2
2 - 2 = 0:
-2 x = 10 - 2
10 - 2 = 8:
-2 x = 8
Divide both sides of -2 x = 8 by -2:
(-2 x)/(-2) = 8/(-2)
(-2)/(-2) = 1:
x = 8/(-2)
The gcd of 8 and -2 is 2, so 8/(-2) = (2×4)/(2 (-1)) = 2/2×4/(-1) = 4/(-1):
x = 4/(-1)
Multiply numerator and denominator of 4/(-1) by -1:
Answer: x = -4
61 = 3b + 7
3b + 7 = 61
3b = 61 - 7
3b = 54
b = 54/3
b = 18.
Answer:
48/37
Step-by-step explanation:
Use the formula (y1 - y2)/(x1 - x2).
Plug in your x and y values to get (92 + 4)/(81 - 7).
Simplify down to get 96/74 and simplify again to get 48/37.
Answer:
y=-8
Step-by-step explanation:
7(y + 2) – (4y – 10)
=7y+14-4y+10
=3y+24
3y=-24
y=-8