Tell how many solutions each one has

Step-by-step explanation:

1) 3(x + 2 ) +4  = 31

3*x + 2*3 + 4 = 31

3x + 6 + 4 = 31

  3x + 10   = 31           {Subtract 10 from both sides}

          3x = 31 - 10

         3x = 21        {divide both sides by 3}

          x = 21/3

x = 7

This equation has one solution

2) 3x + 1 = 3x + 9

Subtract 3x form both sides

3x + 1 -3x = 3x + 9 - 3x

1 ≠ 9

There is no solution for this equation.

3) 2x - 4 = 2x -4

This equation has many solution

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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