Question

7x+3=0 3x-2=8 14-3x=6x 4x-3=4+2x 5x+(3-2х)=14

Answer 1

7x+3=0

7х=-3

х=-3/7

3x-2=8

3х=8+2

3х=10

х=10/3

х=3 1/3

14-3x=6x

3х+6х=14

9х=14

х=14/9

х=1 5/9

4x-3=4+2x

4х-2х=4+3

2х=7

х=7/2

х=3 1/2

5x+(3-2х)=14

5х+3-2х=14

3х=14-3

3х=11

х=11/3

х=3 2/3

Answer 2

To solve these linear equations, we'll isolate the variable (x) in each equation. Here are the solutions for each equation:

1. 7x + 3 = 0: Subtract 3 from both sides: 7x = -3 Divide by 7: x = -3/7

2. 3x - 2 = 8: Add 2 to both sides: 3x = 10 Divide by 3: x = 10/3

3. 14 - 3x = 6x: Add 3x to both sides: 14 = 9x Divide by 9: x = 14/9

4. 4x - 3 = 4 + 2x: Subtract 2x from both sides: 2x - 3 = 4 + 2x The 2x terms cancel out, leaving: -3 = 4 This equation has no solution because -3 does not equal 4.

5. 5x + (3 - 2x) = 14: First, distribute the 5x into the terms within the parentheses: 5x + 3 - 10x = 14 Combine like terms (5x and -10x): -5x + 3 = 14 Subtract 3 from both sides: -5x = 11 Divide by -5 (or multiply by -1/5): x = -11/5

So, the solutions for these equations are as follows:

1. x = -3/7
2. x = 10/3
3. x = 14/9
4. No solution
5. x = -11/5