Question

13х-21=3х+42 2у+7=-2у-7 5х+10=3х+8 8-3у=12-2у 7х+5=2х-18

Answer 1

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Answer 2

1) 13x-3x=42+21
10x=63
X=63/10
X=6,3
2) 2y+2y=-7-7
4y=-14
y=-3,5
3) 5x-3x=8-10
2x=-2
x=-1
4) -3y+2y=12-8
-y=4
y=-4
5) 7x-2x=-18-5
5x=-23
x=-4,6

Answer 3

To solve each of these equations, we'll go through them one by one:

1. 13x - 21 = 3x + 42:

To isolate the variable x, we can start by combining like terms on both sides of the equation. We subtract 3x from both sides and add 21 to both sides:

13x - 3x - 21 + 21 = 3x - 3x + 42 + 21

This simplifies to:

10x = 63

Now, we can solve for x by dividing both sides of the equation by 10:

10x/10 = 63/10

The result is:

x = 6.3

2. 2y + 7 = -2y - 7:

To isolate the variable y, we can start by moving the terms involving y to one side of the equation. We subtract 2y from both sides and subtract 7 from both sides:

2y + 2y + 7 - 2y - 7 = -2y - 2y - 7 - 7

This simplifies to:

4y = -14

Now, we can solve for y by dividing both sides of the equation by 4:

4y/4 = -14/4

The result is:

y = -3.5

3. 5x + 10 = 3x + 8:

To isolate the variable x, we can start by moving the terms involving x to one side of the equation. We subtract 3x from both sides and subtract 10 from both sides:

5x - 3x + 10 - 10 = 3x - 3x + 8 - 10

This simplifies to:

2x = -2

Now, we can solve for x by dividing both sides of the equation by 2:

2x/2 = -2/2

The result is:

x = -1

4. 8 - 3y = 12 - 2y:

To isolate the variable y, we can start by moving the terms involving y to one side of the equation. We add 3y to both sides and subtract 12 from both sides:

8 - 3y + 3y = 12 - 2y + 3y

This simplifies to:

8 = 12 + y

Next, we can isolate y by subtracting 12 from both sides of the equation:

8 - 12 = 12 - 12 + y

This simplifies to:

-4 = y

So, the solution is:

y = -4

5. 7x + 5 = 2x - 18:

To isolate the variable x, we can start by moving the terms involving x to one side of the equation. We subtract 2x from both sides and subtract 5 from both sides:

7x - 2x + 5 - 5 = 2x - 2x - 18 - 5

This simplifies to:

5x = -23

Now, we can solve for x by dividing both sides of the equation by 5:

5x/5 = -23/5

The result is:

x = -4.6

To summarize the solutions:

1. x = 6.3
2. y = -3.5
3. x = -1
4. y = -4
5. x = -4.6