Translate the following sentences/phrases into a mathematical equations then solve. You can use any variable(letter) to represent a number.
1) The product of a number and ten is equal to the sum of fourteen and six less than twice the number.
2) A number minus seven added to five times the sum of a number and four yields eighty-five.
3) The quotient or sixteen added to eight times a number and six is equal to forty-eight.
4) Three-fourths of a number times four added to four times the sum of twelve and a number is equal to eighty-three.
5) The difference between three and a number divided by nine is equal to twice the difference of a number and three.
Answers & Comments
1)
10x = 2x - (14 + 6)
2)
5(x + 4) + (x - 7) = 85
3)
(8x + 16)/6 = 48
4)
4(12 + x) + 4(3/4)x= 83
5)
(3 - x)/9 = 2(x - 3)
make sure to brainliest this answer so I can see your next question :)
10x = 2x - (14 + 6)
10x - 2x = -20
8x = -20
x = -20/8
x = -5/2
2)
5(x + 4) + (x - 7) = 85
5x + 20 + x - 7 = 85
6x = 85 - 20 + 7
6x = 72
x = 12
3)
(8x + 16)/6 = 48
(8x + 16)/6 = 48
8x + 16 = 288
8x = 272
x = 34
4)
4(12 + x) + 4(3/4)x= 83
48 + 4x + 3x = 83
7x = 35
x = 5
5)
(3 - x)/9 = 2(x - 3)
3 - x = 18x - 54
19x = 57
x = 3