1. -2x - 9 = 15
Add 9 to both sides: -2x = 24
Divide by -2: x = -12
2. 16 - (3/4)x = 10
Subtract 16 from both sides: -(3/4)x = -6
Multiply by -4/3: x = 8
3. 5(2x+4)−4=2x+8
Distribute the 5: 10x + 20 - 4 = 2x + 8
Combine like terms: 10x + 16 = 2x + 8
Subtract 2x from both sides: 8x + 16 = 8
Subtract 16 from both sides: 8x = -8
Divide by 8: x = -1
Therefore, there is one solution for x.
4. 6x - 8 + 2x = 32
Combine like terms: 8x - 8 = 32
Add 8 to both sides: 8x = 40
Divide by 8: x = 5
5. Let x be the number of days.
500 + 50x = 660 + 42x
Subtract 500 and 42x from both sides: 50x - 42x = 660 - 500
8x = 160
Divide by 8: x = 20
Therefore, the two songs will have the same number of listens after 20 days.
1. -2x - 9 = 15 (solve for x)
2. 16 - ¾(x) = 10 (solve for x)
3. Solve for x to determine if the equation has one, none, or infinite solutions. 5(2x+4)−4=2x+8
4. 6x - 8 + 2x = 32
5. At the beginning of the month, a song on a streaming service had 500 listens, and it was getting 50 new listens each day. Meanwhile, a different song had 660 listens, and it was getting 42 new listens each day. When will the two songs have the same number of listens? Write an equation and use x.
1 answer
8 answers