Variables on Both Sides
Solve. 5y – 8 = 3y + 12
y = 10
Solve. 5x + 16 = 51
x = 7
Solve for b. a + b + d = c
b = c – d – a
6/9 = 8/c
c = 12
Find two consecutive integers whose sum is 19.
9 & 10
Solve. 5x + 2 = 2x – 10
x = –4
Solve. y/3 + 2 = –12
y = –42
Solve for s. (s – t)/p = q
s = pq + t
y/3 = 48/9
y = 16
Find two consecutive numbers whose sum is 100.
49.5 + 50.5
Solve. –11 – 3y = 8y + 1
y = –12/11
Solve. 8 + (3n)/12 = 13
n = 20
Solve for y. 5x – 2y = –33
y = (33 + 5x)/2
2/y = 10/60
y = 12
Find three consecutive integers whose sum is 60.
19, 20, 21.
Solve. 5x – 2x = 3x + 2
no solution
Solve. 8 = –12 + k/–4
k = –80
Solve for x. 6y + 3x – 2z = 1
x = (1 + 2z – 6y)/3
(r + 2)/7 = 5/7
r = 3
Find three consecutive even integers whose sum is 132.
42, 44, 46
Solve. 4(2x – 1) = –10(x – 5)
x = 3
Solve. (4x + 8)/–2 = 10
x = –7
Solve for x. (rx + 9)/5 = h
x = (5h – 9)/r
3/12 = 2/(x + 6)
x = 2
Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?
–8 & –6