Question

4 (х+9)=4×2+4×9?11 (х+8)=11×5+11×833 (х-2)=33×9-33×2

Answer 1

1)  4(х+9)=4*2+4*9
     4х+36=8+36+
     4х-36=44
     4х=44+36
     4х=80
     х=20
2)  11(х+8)=11*5+11*8
      11х+88=55+88
     11х+88=143
     11х=143-88
     11х=55
     х=5
3)  33(х-2) = 33*9-33*2
     33х -66=33(9-2)
     33х-66 = 33*7
     33х-66=231
     33х=231+66
     33х = 297
     х=9

Answer 2

To solve the given equations, we'll start by simplifying each equation and then solving for the value of x.

Equation 1:

4(x + 9) = 4 * 2 + 4 * 9

First, we'll simplify the right-hand side of the equation: 4 * 2 = 8 4 * 9 = 36

So the equation becomes: 4(x + 9) = 8 + 36

Now, we'll distribute 4 to both terms inside the parentheses: 4x + 36 = 44

Subtract 36 from both sides: 4x = 44 - 36 4x = 8

Divide both sides by 4: x = 8 / 4 x = 2

Equation 2:

11(x + 8) = 11 * 5 + 11 * 8

First, we'll simplify the right-hand side of the equation: 11 * 5 = 55 11 * 8 = 88

So the equation becomes: 11(x + 8) = 55 + 88

Now, we'll distribute 11 to both terms inside the parentheses: 11x + 88 = 143

Subtract 88 from both sides: 11x = 143 - 88 11x = 55

Divide both sides by 11: x = 55 / 11 x = 5

Equation 3:

33(x - 2) = 33 * 9 - 33 * 2

First, we'll simplify the right-hand side of the equation: 33 * 9 = 297 33 * 2 = 66

So the equation becomes: 33(x - 2) = 297 - 66

Now, we'll distribute 33 to both terms inside the parentheses: 33x - 66 = 231

Add 66 to both sides: 33x = 231 + 66 33x = 297

Divide both sides by 33: x = 297 / 33 x = 9

Solution:

The solutions to the given equations are: - x = 2 for the first equation - x = 5 for the second equation - x = 9 for the third equation