Question

5) 3(x-2)=x+4;6) 5(x-1)=4x+3.​

Answer 1

3(х-2)=х+4
3х-6=х+4
3х-х=6+4
2х=10
х=5
——


5(х-1)=4х+3
5х-5=4х+3
5х-4х=5+3
х=8
——

Answer 2

Ответ:

3(х-2)=х+4

3х-6= х+4

3х-х= 4+6

2х=10

х=5

2) 5(х-1)=4х+3

5х-5=4х+3

5х-4х= 3+5

х=8

Answer 3

Let's solve these two linear equations step by step:

5. 3(x - 2) = x + 4

First, distribute the 3 on the left side of the equation:

3x - 6 = x + 4

Now, let's isolate the variable x. Start by moving the x term from the right side to the left side of the equation by subtracting x from both sides:

3x - x - 6 = 4

Now, simplify the equation:

2x - 6 = 4

Next, add 6 to both sides of the equation to isolate 2x:

2x - 6 + 6 = 4 + 6

This simplifies to:

2x = 10

Finally, divide both sides by 2 to solve for x:

(2x)/2 = 10/2

x = 5

So, the solution to equation 5 is x = 5.

6. 5(x - 1) = 4x + 3

First, distribute the 5 on the left side of the equation:

5x - 5 = 4x + 3

Now, let's isolate the variable x. Start by moving the 4x term from the right side to the left side of the equation by subtracting 4x from both sides:

5x - 4x - 5 = 3

Now, simplify the equation:

x - 5 = 3

Next, add 5 to both sides of the equation to isolate x:

x - 5 + 5 = 3 + 5

This simplifies to:

x = 8

So, the solution to equation 6 is x = 8.

Answer 4

Let's solve these two equations step by step:

5. 3(x-2) = x+4

First, distribute the 3 on the left side of the equation:

3x - 6 = x + 4

Next, move all the x terms to one side and the constants to the other side of the equation:

3x - x = 4 + 6

Now, simplify both sides:

2x = 10

Finally, divide both sides by 2 to isolate x:

2x/2 = 10/2

x = 5

So, the solution to the equation 3(x-2) = x+4 is x = 5.

6. 5(x-1) = 4x+3

First, distribute the 5 on the left side of the equation:

5x - 5 = 4x + 3

Next, move all the x terms to one side and the constants to the other side of the equation:

5x - 4x = 3 + 5

Now, simplify both sides:

x = 8

So, the solution to the equation 5(x-1) = 4x+3 is x = 8.