Resposta:
[tex]a) \: 2x + 15 = 49 \\ 2x = 49 - 15 \\ 2x = 34 \div (2) \\ x = 17[/tex]
[tex]b) \: x + 3x = 48 \\ 4x = 48 \div (4) \\ x = 12[/tex]
[tex]c) \: 2x - 4 = x + 1 \\ 2x - 4 - x = 1 \\ 2x - x = 1 + 4 \\ x = 5[/tex]
[tex]d) \: x + \frac{x}{2} = 15 \\ \\ x + \frac{x}{2} - 15 = 0 \\ \\ \frac{2x + x - 30}{2} = 0 \\ \\ 2x + x - 30 = 0 \\ 3x = 30 \div (3) \\ x = 10[/tex]
[tex]e) \: x - \frac{x}{5} = 32 \\ \\ x - \frac{x}{5} - 32 = 0 \\ \\ \frac{5x - x - 160}{5} = 0 \\ \\ 5x - x - 160 = 0 \\ 4x = 160 \div (4) \\ x = 40[/tex]
[tex]f) \: x + y = 40 \\ x = \frac{3}{5} y \\ \\ \frac{3}{5} y + y = 40 \times (5) \\ \\ 3y + 5y = 200 \\ 8y = 200 \div (8) \\ y = 25 \\ [/tex]
[tex]g) \: x - \frac{2}{5} x = 36 \times (5) \\ \\ 5x - 2x = 180 \\ 3x = 180 \div (3) \\ x = 60[/tex]
[tex]h) \: x = 4 + y \\ x + y = 150 \\ \\ 4 + y + y = 150 \\ 2y = 150 - 4 \\ 2y = 146 \div (2) \\ y = 73 \\ \\ x = 4 + y \\ x = 4 + 73 \\ x = 77[/tex]
[tex]i) \:x = 5 + y \\ x + y = 39 \\ \\ 5 + y + y = 39 \\ 2y = 39 - 5 \\ 2y = 34 \div (2) \\ y = 17 \\ \\ x = 5 + y \\ x = 5 + 17 \\ x = 22[/tex]
[tex]j) \: x + x + 1 = 145 \\ 2x + 1 = 145 \\ 2x = 145 - 1 \\ 2x = 144 \div (2) \\ x = 72 \\ \\ x = 72 \\ x + 1 = 72 + 1 = 73[/tex]
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Resposta:
[tex]a) \: 2x + 15 = 49 \\ 2x = 49 - 15 \\ 2x = 34 \div (2) \\ x = 17[/tex]
[tex]b) \: x + 3x = 48 \\ 4x = 48 \div (4) \\ x = 12[/tex]
[tex]c) \: 2x - 4 = x + 1 \\ 2x - 4 - x = 1 \\ 2x - x = 1 + 4 \\ x = 5[/tex]
[tex]d) \: x + \frac{x}{2} = 15 \\ \\ x + \frac{x}{2} - 15 = 0 \\ \\ \frac{2x + x - 30}{2} = 0 \\ \\ 2x + x - 30 = 0 \\ 3x = 30 \div (3) \\ x = 10[/tex]
[tex]e) \: x - \frac{x}{5} = 32 \\ \\ x - \frac{x}{5} - 32 = 0 \\ \\ \frac{5x - x - 160}{5} = 0 \\ \\ 5x - x - 160 = 0 \\ 4x = 160 \div (4) \\ x = 40[/tex]
[tex]f) \: x + y = 40 \\ x = \frac{3}{5} y \\ \\ \frac{3}{5} y + y = 40 \times (5) \\ \\ 3y + 5y = 200 \\ 8y = 200 \div (8) \\ y = 25 \\ [/tex]
[tex]g) \: x - \frac{2}{5} x = 36 \times (5) \\ \\ 5x - 2x = 180 \\ 3x = 180 \div (3) \\ x = 60[/tex]
[tex]h) \: x = 4 + y \\ x + y = 150 \\ \\ 4 + y + y = 150 \\ 2y = 150 - 4 \\ 2y = 146 \div (2) \\ y = 73 \\ \\ x = 4 + y \\ x = 4 + 73 \\ x = 77[/tex]
[tex]i) \:x = 5 + y \\ x + y = 39 \\ \\ 5 + y + y = 39 \\ 2y = 39 - 5 \\ 2y = 34 \div (2) \\ y = 17 \\ \\ x = 5 + y \\ x = 5 + 17 \\ x = 22[/tex]
[tex]j) \: x + x + 1 = 145 \\ 2x + 1 = 145 \\ 2x = 145 - 1 \\ 2x = 144 \div (2) \\ x = 72 \\ \\ x = 72 \\ x + 1 = 72 + 1 = 73[/tex]