Solve for x andy:
8x - y = 6
10x + y = 19
plzz give me right answer plzz
Answers
Answer:
I hope it will help you
Answer:
Hyy mate
Step-by-step explanation:
Answer:
\begin{gathered}8x - y = 6 - - - - (1)\\ 10x + y = 19 - - - - (2) \\ \: \: using \: \: elimination \: \: method \\ multiply \: \: (1) \: \: by \: \: 10 \\ 10(8x - y) = 10(6) \\ 80x - 10y = 60 - - - - (3) \\ multiply \: \: (2) \: \: by \: \: 8 \\ 8(10x + y) = 8(19) \\ 80x + 8y = 152 - - - - (4)\\ subtract \: \: (3) \: \: from \: \: (4) \\ 80x - 10y = 60 - - - - (3) \\ 80x + 8y = 152 - - - - (4) \\ 18y = 92 \\ y = \frac{92}{18} \\ y = \frac{46}{9} \\ \: \: put \: \: the \: \: value \: \: of \: \: y \: \:in \: \: (1) \\ 8x - \frac{46}{9} = 6 \\ 8x = 6 + \frac{46}{9} \\ 8x = \frac{54 + 46}{9} \\ 8x = \frac{100}{9} \\x = \frac{100}{9 \times 8} \\ x = \frac{25}{9 \times 2} \\ x = \frac{25}{18} \end{gathered}
8x−y=6−−−−(1)
10x+y=19−−−−(2)
usingeliminationmethod
multiply(1)by10
10(8x−y)=10(6)
80x−10y=60−−−−(3)
multiply(2)by8
8(10x+y)=8(19)
80x+8y=152−−−−(4)
subtract(3)from(4)
80x−10y=60−−−−(3)
80x+8y=152−−−−(4)
18y=92
y=
18
92
y=
9
46
putthevalueofyin(1)
8x−
9
46
=6
8x=6+
9
46
8x=
9
54+46
8x=
9
100
x=
9×8
100
x=
9×2
25
x=
18
25
I hope it will help you