Question

1)7x=-95,4-2x2)5/6y-3/4y+1=2/3y-1/6

Answer 1

7х+2х=-95,4
9х=-95,4
х=-95,4:9
х= −10.6
2)2у+1=2/3у-1/6
2у-2/3у=-1/6-1
0,5у=-7
у=-7:0,5
у=14

Answer 2

7x=-95.4-2x
7x+2x=-95.4
9x=-95.4
x=-95.4:9
x=-10.6
2)5/6y-3/4y+1=2/3y-1/6
5/6y-3/4y-2/3y=-1/6-1
- 7/12y=- 7/6
-12y=-6
y=-6:(-12)
y=1/2

Answer 3

Let's solve each equation step by step:

1. 7x = -95 - 4 - 2x

First, combine the constant terms on the right side:

7x = -99 - 2x

Next, isolate the variable terms on one side and the constant terms on the other side:

7x + 2x = -99

Combine the x terms:

9x = -99

Now, solve for x by dividing both sides by 9:

x = -99 / 9 x = -11

So, the solution for the equation is x = -11.

2. (5/6)y - (3/4)y + 1 = (2/3)y - (1/6)

First, let's combine the y terms on the left side:

(5/6)y - (3/4)y = (2/3)y - (1/6) - 1

To add or subtract fractions, the denominators must be the same. The common denominator for 6, 4, and 3 is 12. So, let's convert the fractions:

[(5/6)(2/2)]y - [(3/4)(3/3)]y = [(2/3)(4/4)]y - [(1/6)(2/2)] - 1

This simplifies to:

(10/12)y - (9/12)y = (8/12)y - (2/12) - 1

Now, combine the y terms:

(10/12 - 9/12)y = (8/12 - 2/12) - 1

(1/12)y = (6/12) - 1

(1/12)y = (6/12) - (12/12)

(1/12)y = -6/12

Now, solve for y by multiplying both sides by 12:

y = (-6/12) * 12 y = -6

So, the solution for the equation is y = -6.