Question

10х-13=2х+26 4у-15=2у+5 18а+3=6а+15 -3х+2=х-6 -10х+20=-4х+10

Answer 1

10x-13=2x+26

8x=26+13

8x=39

x=39/8

x=4.875

4y-15=2y+5

2y=15+5

y=10

18a+3=6a+15

12a=12

a=1

-3x+2=x-6

-4x=-8

x=2

-10x+20=-4x+10

-6x=-10

x=10/6

x=1.6

Answer 2

To solve each equation, we'll isolate the variable on one side of the equation. Let's solve each equation step-by-step:

1. 10x - 13 = 2x + 26 Subtract 2x from both sides: 10x - 2x - 13 = 2x - 2x + 26 Simplify: 8x - 13 = 26 Add 13 to both sides: 8x - 13 + 13 = 26 + 13 Simplify: 8x = 39 Finally, divide by 8: x = 39 / 8 x ≈ 4.875

2. 4y - 15 = 2y + 5 Subtract 2y from both sides: 4y - 2y - 15 = 2y - 2y + 5 Simplify: 2y - 15 = 5 Add 15 to both sides: 2y - 15 + 15 = 5 + 15 Simplify: 2y = 20 Finally, divide by 2: y = 20 / 2 y = 10

3. 18a + 3 = 6a + 15 Subtract 6a from both sides: 18a - 6a + 3 = 6a - 6a + 15 Simplify: 12a + 3 = 15 Subtract 3 from both sides: 12a + 3 - 3 = 15 - 3 Simplify: 12a = 12 Finally, divide by 12: a = 12 / 12 a = 1

4. -3x + 2 = x - 6 Add 3x to both sides: -3x + 3x + 2 = x + 3x - 6 Simplify: 2 = 4x - 6 Add 6 to both sides: 2 + 6 = 4x - 6 + 6 Simplify: 8 = 4x Finally, divide by 4: x = 8 / 4 x = 2

5. -10x + 20 = -4x + 10 Add 10x to both sides: -10x + 10x + 20 = -4x + 10x + 10 Simplify: 20 = 6x + 10 Subtract 10 from both sides: 20 - 10 = 6x + 10 - 10 Simplify: 10 = 6x Finally, divide by 6: x = 10 / 6 x ≈ 1.667

So, the solutions to the given equations are:

1. x ≈ 4.875
2. y = 10
3. a = 1
4. x = 2
5. x ≈ 1.667