1. **Problem:** Determine if the ordered pair $(1,5)$ is a solution to the system: $$-5m + 6n = 25$$ $$-7m + 8n = 33$$ 2. **Substitute** $m=1$, $n=5$ into each equation: $$-5(1) + 6(5) = -5 + 30 = 25$$ $$-7(1) + 8(5) = -7 + 40 = 33$$ 3. Both equations hold true, so $(1,5)$ is a solution. --- 1. **Problem:** Check if $(-2,0)$ solves: $$8x - 3y = -16$$ $$50 = -9x - 2y$$ 2. Substitute $x=-2$, $y=0$: $$8(-2) - 3(0) = -16 - 0 = -16$$ $$50 = -9(-2) - 2(0) = 18 - 0 = 18$$ 3. First equation true, second false ($50 \neq 18$), so $(-2,0)$ is not a solution. --- 1. **Problem:** Check if $(7,-4)$ solves: $$9b + 4a = -8$$ $$6a + 5b - 42 = 0$$ 2. Substitute $a=-4$, $b=7$: $$9(7) + 4(-4) = 63 - 16 = 47 \neq -8$$ 3. Since first equation fails, no need to check second; $(7,-4)$ is not a solution. --- 1. **Problem:** Check if $(-3,-2)$ solves: $$-7c - 4d = 29$$ $$3c = -7 + d$$ 2. Substitute $c=-3$, $d=-2$: $$-7(-3) - 4(-2) = 21 + 8 = 29$$ $$3(-3) = -7 + (-2) \Rightarrow -9 = -9$$ 3. Both true, so $(-3,-2)$ is a solution. --- 1. **Problem:** Check if $(6,9)$ solves: $$s + 7t = 69$$ $$6t + 4s = 78$$ 2. Substitute $s=6$, $t=9$: $$6 + 7(9) = 6 + 63 = 69$$ $$6(9) + 4(6) = 54 + 24 = 78$$ 3. Both true, so $(6,9)$ is a solution. --- 1. **Problem:** Check if $(6,9)$ solves: $$-2p + 5q = 34$$ $$-7q = -61 - 8p$$ 2. Substitute $p=6$, $q=9$: $$-2(6) + 5(9) = -12 + 45 = 33 \neq 34$$ $$-7(9) = -61 - 8(6) \Rightarrow -63 = -61 - 48 = -109$$ 3. Both equations false, so $(6,9)$ is not a solution.