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pj a-3a+5a=12 a) 3.(x-1)=6 2cdot (x+5)=-4 s) 3cdot (2y-5)=9 5cdot (y-3)=2y+3

Pergunta

pj a-3a+5a=12
a) 3.(x-1)=6
2cdot (x+5)=-4
s) 3cdot (2y-5)=9
5cdot (y-3)=2y+3

pj a-3a+5a=12 a) 3.(x-1)=6 2cdot (x+5)=-4 s) 3cdot (2y-5)=9 5cdot (y-3)=2y+3

Solução

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JosiProfissional · Tutor por 6 anos

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Let's solve each equation step by step:<br /><br />1. $a-3a+5a=12$<br />Combine like terms: $3a=12$<br />Divide both sides by 3: $a=4$<br /><br />2. $3\cdot (x-1)=6$<br />Distribute the 3: $3x-3=6$<br />Add 3 to both sides: $3x=9$<br />Divide both sides by 3: $x=3$<br /><br />3. $2\cdot (x+5)=-4$<br />Distribute the 2: $2x+10=-4$<br />Subtract 10 from both sides: $2x=-14$<br />Divide both sides by 2: $x=-7$<br /><br />4. $3\cdot (2y-5)=9$<br />Distribute the 3: $6y-15=9$<br />Add 15 to both sides: $6y=24$<br />Divide both sides by 6: $y=4$<br /><br />5. $5\cdot (y-3)=2y+3$<br />Distribute the 5: $5y-15=2y+3$<br />Subtract 2y from both sides: $3y-15=3$<br />Add 15 to both sides: $3y=18$<br />Divide both sides by 3: $y=6$<br /><br />Therefore, the solutions are:<br />1. $a=4$<br />2. $x=3$<br />3. $x=-7$<br />4. $y=4$<br />5. $y=6$
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