Question

[3(x -5)-1=6-2x [3(x- -y)-7y=-4​

Answer 1

{ 3(x -5)-1=6-2x
{ 3(x- -y)-7y=-4

{ 3x - 15 - 1 = 6 - 2x
{ 3x - 3у - 7y = -4

{ 3x + 2х = 6 + 15 + 1
{ 3x - 10y = -4

{ 5х = 22
{ 3х - 10у = -4

{ х = 22/5
{ 10у = 3х + 4

х = 4,4

10у = 3 • 4,4 + 4
10у = 13,2 + 4
10у = 17,2
у = 17,2 : 10
у = 1,72

Ответ: х = 4,4; у = 1,72

Answer 2

To solve the system of equations:

1. 3(x - 5) - 1 = 6 - 2x
2. 3(x - y) - 7y = -4

Let's start with equation 1:

1. 3(x - 5) - 1 = 6 - 2x

First, distribute the 3 on the left side:

3x - 15 - 1 = 6 - 2x

Now, combine like terms by adding 2x and 15 to both sides:

3x + 2x - 15 + 15 - 1 = 6 + 15 + 2x - 2x

This simplifies to:

5x - 1 = 21

Add 1 to both sides:

5x - 1 + 1 = 21 + 1

5x = 22

Now, divide by 5 to solve for x:

5x/5 = 22/5

x = 22/5

Now, let's move on to equation 2:

2. 3(x - y) - 7y = -4

First, distribute the 3 on the left side:

3x - 3y - 7y = -4

Combine like terms:

3x - 10y = -4

Now, let's isolate y by moving the terms not containing y to the other side:

3x - 10y + 10y = -4 + 10y

3x = 10y - 4

Now, divide by 3 to solve for x:

(3x)/3 = (10y - 4)/3

x = (10y - 4)/3

So, you have the solutions:

x = 22/5 y = (10y - 4)/3

The second equation doesn't yield a specific value for y in terms of x because it's dependent on the value of y itself. If you have more information or another equation, you might be able to solve for y as well.