Pergunta
8x+y+x+8y 7x+5+4y 9x+9y 9x+3y 4y+19
Solução
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ÚrsulaMestre · Tutor por 5 anos
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To simplify the given expression, we need to combine like terms. Let's break it down step by step:<br /><br />1. Combine the like terms in the first part of the expression:<br /> \[<br /> 8x + y + x + 8y = (8x + x) + (y + 8y) = 9x + 9y<br /> \]<br /><br />2. Now, we have:<br /> \[<br /> 9x + 9y<br /> \]<br /><br />3. The next part of the expression is:<br /> \[<br /> 7x + 5 + 4y<br /> \]<br /><br />4. Combine the like terms in the second part of the expression:<br /> \[<br /> 7x + 5 + 4y<br /> \]<br /><br />5. Now, we have:<br /> \[<br /> 7x + 5 + 4y<br /> \]<br /><br />6. The next part of the expression is:<br /> \[<br /> 9x + 3y<br /> \]<br /><br />7. Combine the like terms in the third part of the expression:<br /> \[<br /> 9x + 3y<br /> \]<br /><br />8. Now, we have:<br /> \[<br /> 9x + 3y<br /> \]<br /><br />9. The next part of the expression is:<br /> \[<br /> 9x + 9y<br /> \]<br /><br />10. Combine the like terms in the fourth part of the expression:<br /> \[<br /> 9x + 9y<br /> \]<br /><br />11. Now, we have:<br /> \[<br /> 9x + 9y<br /> \]<br /><br />12. The next part of the expression is:<br /> \[<br /> 4y + 19<br /> \]<br /><br />13. Combine the like terms in the fifth part of the expression:<br /> \[<br /> 4y + 19<br /> \]<br /><br />14. Now, we have:<br /> \[<br /> 4y + 19<br /> \]<br /><br />So, the simplified expression is:<br />\[<br />9x + 9y + 7x + 5 + 4y + 9x + 3y + 9x + 9y + 4y + 19<br />\]<br /><br />Combining all like terms:<br />\[<br />(9x + 7x + 9x + 9x + 9x) + (9y + 4y + 3y + 9y + 4y) + 19 + 5<br />\]<br /><br />This simplifies to:<br />\[<br />45x + 29y + 24<br />\]<br /><br />Therefore, the simplified expression is:<br />\[<br />45x + 29y + 24<br />\]
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