Proportions 3 Equations Solve each proportion. 1) (9n)/(n+4)=(7)/(10) 2) (p)/(5)=(p+1)/(9) 3) (n)/(n+6)=(8)/(10) 4) (7)/(4)=(a-10)/(a) 5) (n)/(7)=(n-2)/(8) 6) (k+7)/(3)=(k-8)/(10) 7) (m+1)/(4)=(m+1)/(9) 8) (p-1)/(9)=(p-2)/(7) 9) (a-10)/(a+5)=(3)/(8) 10) (k+7)/(k+8)=(4)/(10) 11) (k+1)/(k+7)=(9)/(2) 12) (r+10)/(r-2)=(5)/(9) 13) (10)/(k-2)=(7)/(k+1) 14) (b-3)/(b+3)=(4)/(6) 15) (5)/(8)=(x+3)/(x+5) 16) (x+10)/(4)=(x-4)/(8) 17) (2)/(5)=(x+10)/(x+5) 18) (k+9)/(k+10)=(5)/(7) 19) (p+10)/(p-8)=(5)/(6) 20) (9)/(m-5)=(7)/(m-9) Solve each equation. 21) -8x+39=-3(x-8) 23) 2(5+7r)=-38-2r 25) -2(4m-2)-m=-14-6m 22) -5r-28=-(r+4) 24) -33-3n=2(n+3)+1

1) $\frac {9n}{n+4}=\frac {7}{10}$<br />Cross-multiplying gives $90n = 7n + 28$. Solving for $n$ gives $n = 4$.<br /><br />2) $\frac {p}{5}=\frac {p+1}{9}$<br />Cross-multiplying gives $9p = 5p + 5$. Solving for $p$ gives $p = 5$.<br /><br />3) $\frac {n}{n+6}=\frac {8}{10}$<br />Cross-multiplying gives $10n = 8n + 48$. Solving for $n$ gives $n = 24$.<br /><br />4) $\frac {7}{4}=\frac {a-10}{a}$<br />Cross-multiplying gives $7a = 4a - 40$. Solving for $a$ gives $a = 40$.<br /><br />5) $\frac {n}{7}=\frac {n-2}{8}$<br />Cross-multiplying gives $8n = 7n - 14$. Solving for $n$ gives $n = 14$.<br /><br />6) $\frac {k+7}{3}=\frac {k-8}{10}$<br />Cross-multiplying gives $10k + 70 = 3k - 24$. Solving for $k$ gives $k = -94/7$.<br /><br />7) $\frac {m+1}{4}=\frac {m+1}{9}$<br />Since the numerators are the same, the denominators must be equal. Therefore, $m + 1 = 0$, which gives $m = -1$.<br /><br />8) $\frac {p-1}{9}=\frac {p-2}{7}$<br />Cross-multiplying gives $7p - 7 = 9p - 18$. Solving for $p$ gives $p = 11/2$.<br /><br />9) $\frac {a-10}{a+5}=\frac {3}{8}$<br />Cross-multiplying gives $8a - 80 = 3a + 15$. Solving for $a$ gives $a = 95/5$.<br /><br />10) $\frac {k+7}{k+8}=\frac {4}{10}$<br />Cross-multiplying gives $10k + 70 = 4k + 32$. Solving for $k$ gives $k = 32/6$.<br /><br />11) $\frac {k+1}{k+7}=\frac {9}{2}$<br />Cross-multiplying gives $2k + 2 = 9k + 63$. Solving for $k$ gives $k = -61/7$.<br /><br />12) $\frac {r+10}{r-2}=\frac {5}{9}$<br />Cross-multiplying gives $9r + 90 = 5r - 10$. Solving for $r$ gives $r = -100/4$.<br /><br />13) $\frac {10}{k-2}=\frac {7}{k+1}$<br />Cross-multiplying gives $10k + 10 = 7k - 14$. Solving for $k$ gives $k = -24/3$.<br /><br />14) $\frac {b-3}{b+3}=\frac {4}{6}$<br />Cross-multiplying gives $6b - 18 = 4b + 12$. Solving for $b$ gives $b = 30/2$.<br /><br />15) $\frac {5}{8}=\frac {x+3}{x+5}$<br />Cross-multiplying gives $5x + 25 = 8x + 24$. Solving for $x$ gives $x = 1/3$.<br /><br />16) $\frac {x+10}{4}=\frac {x-4}{8}$<br />Cross-multiplying gives $8x + 80 = 4x - 32$. Solving for $x$ gives $x = -112/4$.<br /><br />17) $\frac {2}{5}=\frac {x+10}{x+5}$<br />Cross-multiplying gives $2x + 20 = 5x + 25$. Solving for $x$ gives $x = -5/3$.<br /><br />18) $\frac {k+9}{k+10}=\frac {5}{7}$<br />Cross-multiplying gives $7k + 63 = 5k + 50$. Solving for $k$ gives $k = 87/2$.<br /><br />19) $\frac {p+10}{p-8}=\frac {5}{6}$<br />Cross-multiplying gives $6p + 60 = 5p - 40$. Solving for $p$ gives $p =