Question

10: 1 7/8 = 8х-2х+х-3х=3 2/45х + 1 7/30х=6 1/9=

Answer 1

10: 1 7/8 = 8х-2х+х-3х
10\1*8\15=4х
4х=16\3
х=16\3*1\4
х=4\3
х=1 1\3

3 2/45х + 1 7/30х=6 1/9
3 4\90х+1 21\90х=6 1\9
4 25\90х=6 1\9
х=55\9*90\385
х=70

Answer 2

10 + 1 + 7/8 = 18/8 + 1 + 7/8 = 19/8

To solve 8x - 2x + x - 3x = 3 + 2/45x + 1 + 7/30x = 6 + 1/9, we first combine like terms on the left side of the equation:

8x - 2x + x - 3x = 8x - 5x 8x - 5x = 3x

Next, we combine the fractions on the right side of the equation:

2/45x + 7/30x = (4/90x + 21/90x) = 25/90x = 5/18x

So the equation becomes:

3x + 5/18x = 6 + 1/9

To combine the x terms, we need to find a common denominator for 3x and 5/18x, which is 18. So we multiply 3x by 18/18 to get 54x/18, and 5/18x stays the same.

Now the equation is:

54x/18 + 5/18x = 6 + 1/9

Combining the x terms, we get:

(54x + 5)/18x = 6 + 1/9

To get rid of the fraction, we can multiply both sides of the equation by 18x:

18x(54x + 5)/18x = 18x(6 + 1/9) 54x + 5 = 108x + 2x 54x + 5 = 110x

Subtracting 54x from both sides, we get:

5 = 56x

Dividing both sides by 56, we find:

x = 5/56

So the solution to the equation is x = 5/56.