Professora: 1 Turma: 72.01 1- Resolva as equações do 1^circ grau: A) x-3=9 X= B) 4x-9=1-2x C) x+5=20-4x D) 9x-4x+10=7x-30 E) 3x-7=2x+5 F) 7x+8=4x-10 G) 5x-3+x=2x+9 H) 9x+9+3x=15 I) 5x+7=4x+10 J) 17x-7x=x+18

Vamos resolver cada uma das equações do 1º grau:<br /><br />A) \( x - 3 = 9 \)<br />\[ x = 9 + 3 \]<br />\[ x = 12 \]<br /><br />B) \( 4x - 9 = 1 - 2x \)<br />\[ 4x + 2x = 1 + 9 \]<br />\[ 6x = 10 \]<br />\[ x = \frac{10}{6} \]<br />\[ x = \frac{5}{3} \]<br /><br />C) \( x + 5 = 20 - 4x \)<br />\[ x + 4x = 20 - 5 \]<br />\[ 5x = 15 \]<br />\[ x = \frac{15}{5} \]<br />\[ x = 3 \]<br /><br />D) \( 9x - 4x + 10 = 7x - 30 \)<br />\[ 5x + 10 = 7x - 30 \]<br />\[ 5x - 7x = -30 - 10 \]<br />\[ -2x = -40 \]<br />\[ x = \frac{-40}{-2} \]<br />\[ x = 20 \]<br /><br />E) \( 3x - 7 = 2x + 5 \)<br />\[ 3x - 2x = 5 + 7 \]<br />\[ x = 12 \]<br /><br />F) \( 7x + 8 = 4x - 10 \)<br />\[ 7x - 4x = -10 - 8 \]<br />\[ 3x = -18 \]<br />\[ x = \frac{-18}{3} \]<br />\[ x = -6 \]<br /><br />G) \( 5x - 3 + x = 2x + 9 \)<br />\[ 6x - 3 = 2x + 9 \]<br />\[ 6x - 2x = 9 + 3 \]<br />\[ 4x = 12 \]<br />\[ x = \frac{12}{4} \]<br />\[ x = 3 \]<br /><br />H) \( 9x + 9 + 3x = 15 \)<br />\[ 12x + 9 = 15 \]<br />\[ 12x = 15 - 9 \]<br />\[ 12x = 6 \]<br />\[ x = \frac{6}{12} \]<br />\[ x = \frac{1}{2} \]<br /><br />I) \( 5x + 7 = 4x + 10 \)<br />\[ 5x - 4x = 10 - 7 \]<br />\[ x = 3 \]<br /><br />J) \( 17x - 7x = x + 18 \)<br />\[ 10x = x + 18 \]<br />\[ 10x - x = 18 \]<br />\[ 9x = 18 \]<br />\[ x = \frac{18}{9} \]<br />\[ x = 2 \]<br /><br />Portanto, as soluções são:<br />A) \( x = 12 \)<br />B) \( x = \frac{5}{3} \)<br />C) \( x = 3 \)<br />D) \( x = 20 \)<br />E) \( x = 12 \)<br />F) \( x = -6 \)<br />G) \( x = 3 \)<br />H) \( x = \frac{1}{2} \)<br />I) \( x = 3 \)<br />J) \( x = 2 \)