`3w+7=19`
`x/6 = 10/12`
x = 5
`15 - 2x = 3x`
x=3
Simplify
`|-3| + |3|`
6
Solve for y
`2x+y = 7`
`y = -2x + 7`
`(h+6)/5 = 2`
h = 4
`4/15 = x/27`
x = 7.2
`-3x + 10 = 15x - 8`
x = 1
Solve the equation
`|t/2| = 6`
t=6
Solve the literal equation for x.
`x = (y-12)/(-5-4k)`
`x = (y-12)/(-5-4k)`
`3.8 y + 5.6 y - 2 = 2.7`
y=0.5
`13/x = 5/4`
x = 10.4
`10(x + 5) = 2(x+9)`
x= -4
`2|-8w +6| = 76`
w = =4
and
w=5.5
Solve for y
`9x - y = 45`
`y = 9x - 45`
`5(r+9) -2(1-r) = 1`
r = -6
A painter needs to reach the top of a wall using a ladder. The right triangles formed by the objects and their shadows are similar. The ladder is placed 12 feet away from the base of the wall. The painter is 5 feet tall and casts a shadow of 3 feet. The painter has a ladder that can reach up to 20 feet. Can the painter use the ladder to reach the top of the wall?
h = 20 feet.
Yes, the painter can use the ladder to reach the top using the ladder.
`2(2x+4)=3/4(24-8x)`
x = 1
`|x-1| + 5 = 2`
|x-1| = -3
NO SOLUTION
Rewrite to isolate F.
`C = 5/9 (F - 32)`
`F = 9/5C + 32`
`83.8 = 8.6x-7.3(6-2x)`
x = 5.5
An enterpreneur wants to rent a billboard at least 30 feet tall to display an advertisement for her business. She is 5 feet 6 inches tall and casts a shadow of 7 feet. At the same time, a billboard casts a shadow of 35 feet. Is the billboard tall enough?
`5(1+2m) = 1/2(8+20m)`
5 = 4
NO SOLUTION
`|3.5x| = 15.4`
x = 4.4
and
x = 4.4
Solve the literal equation for x.
`x - 9 + 2wx = y`
`x = (9+ y) / (1+2w)`