Step-by-step explanation:
4x-y+20=0 - - -(1)
6×5y-9=0- - -(2)
(1)×5=20x-5y+100=0- -(3)
(3)+(2)
=26x+91=0
X=-91/26
4(-91/26)-y+20=0
-182/13+2600/13-y= 0
2418/13-y=0
y=2418/13
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Verified answer
Step-by-step explanation:
4x-y+20=0 - - -(1)
6×5y-9=0- - -(2)
(1)×5=20x-5y+100=0- -(3)
(3)+(2)
=26x+91=0
X=-91/26
4(-91/26)-y+20=0
-182/13+2600/13-y= 0
2418/13-y=0
y=2418/13
[tex]4x - y + 20 = 0 \: \: \: \: \: \: \: (1) \\ \\ 4x = 20 + y \\ \\x = \frac{20 + y}{4} [/tex]
[tex] \\ [/tex]
[tex]6x + 5y - 9 = 0 \\ \\ 6( \frac{20 + y}{4}) + 5y - 9 = 0 \\ \\ \frac{120 + 6y}{4} + 5y - 9 = 0 \\ \\ \frac{120 + 6y}{4} + \frac{5y}{1} - 9 = 0 \\ \\ \frac{120 + 6y + 20y}{4} - 9 = 0 \\ \\ 120 + 11y - 9 = 4 \\ \\ 120 - 9 - 4 = - 11y \\ \\ 120 - 13 = - 11y \\ \\ 107 = - 11y \\ \\ y = \frac{107}{ - 11} \\ \\ y = - 9.72[/tex]
[tex] \\ [/tex]
[tex]x = \frac{20 + y}{4} \\ \\ x = \frac{20 + 9.72}{4} \\ \\ x = \frac{29.72}{4} \\ \\ x = 7.43[/tex]