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47 Solution of Second-Order Systems by Augment Q8.Solve: 3x+5=17 Q9. Simplify: 3x+5-17 Q10. Multiply: ((2)/(3))((5)/(7)) For Problems 1 through 10, solve the system by augmented
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LeandroElite · Tutor por 8 anos
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Q8. Solve: $3x+5=17$<br /><br />To solve the equation $3x+5=17$, we need to isolate the variable $x$.<br /><br />Step 1: Subtract 5 from both sides of the equation.<br />$3x+5-5=17-5$<br />$3x=12$<br /><br />Step 2: Divide both sides of the equation by 3.<br />$\frac{3x}{3}=\frac{12}{3}$<br />$x=4$<br /><br />Therefore, the solution to the equation $3x+5=17$ is $x=4$.<br /><br />Q9. Simplify: $3x+5-17$<br /><br />To simplify the expression $3x+5-17$, we need to combine like terms.<br /><br />Step 1: Combine the constant terms.<br />$3x+(5-17)$<br />$3x-12$<br /><br />Therefore, the simplified expression is $3x-12$.<br /><br />Q10. Multiply: $(\frac {2}{3})(\frac {5}{7})$<br /><br />To multiply two fractions, we multiply the numerators together and the denominators together.<br /><br />Step 1: Multiply the numerators.<br />$2 \times 5 = 10$<br /><br />Step 2: Multiply the denominators.<br />$3 \times 7 = 21$<br /><br />Therefore, the product of $(\frac {2}{3})(\frac {5}{7})$ is $\frac{10}{21}$.
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