Answer 6 is $1883+$1883=$3766 owed tax and $3051+$1094+$789=$4934 refund tax.
Answer 7 is 1324+678+$646+$678=$3326 refund tax and $646+$678=$1324 owed.
Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
![\frac{x}{3x} \times 120 \\ =40](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3x%7D%20%20%5Ctimes%20120%20%5C%5C%20%3D40)
![\frac{2x}{3x} \times 120 \\= 80](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B3x%7D%20%20%5Ctimes%20120%20%5C%5C%3D%2080)
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
It's out of D or A I can't really see
-4x+y= -9 can be turned into
y= -9 + 4x
5x+2y=3 (plug y in)
5x+2(-9+4x)=3
5x-18+8x=3
5x+8x=3+18
13x=21
divide 13 on both sides
x=1.6
![\boxed{\underline{\bf \: ANSWER}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cunderline%7B%5Cbf%20%5C%3A%20ANSWER%7D%7D)
![\sf \: ( 5 + 6 i ) ( 5 - 6 i )](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20%28%205%20%2B%206%20i%20%29%20%28%205%20-%206%20i%20%29)
Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29i%5E%7B2%7D%20)
By definition, i² is -1.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29%5Cleft%28-1%5Cright%29%20)
Do the multiplications.
![\dashrightarrow \sf \: 25-30i+30i+36](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5C%3A%2025-30i%2B30i%2B36%20)
Now cancel -30i & +30i
![\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%5Cbcancel%7B-%2030i%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%20%5Cbcancel%7B30i%7D%2B36%20)
Now the equation becomes
![\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%2B%2036%20%5C%5C%20%5Cdashrightarrow%20%20%5Cboxed%7B%5Cbf%20%5C%3A%2061%7D)
________
Hope it helps.
ŕάίήвόώşάĻţ2²2²