Solve the following simultaneous linear equations (1 to 4):
(i) 2x – (¾)y = 3,
5x – 2y = 7
(ii) 2(x-4) = 9y+2
x – 6y = 2
(i) 97x+53y = 177
53x+97y = 573
(ii) x+y = 5.5
x-y = 0.9
(i) x+y = 7xy
2x-3y+xy = 0
(ii)
(i) ax+by = a-b
bx-ay = a+b
Solve 2x -(3/y) =9
3x + (7/y) = 2.
Hence find the value of k if x = ky + 5.
\begin{aligned} &\frac{1}{x+y}-\frac{1}{2 x}=\frac{1}{30}\\ &\frac{5}{x+y}+\frac{1}{3}=\frac{4}{3}\\ &\text { Hence find the value of } 2 x^{2}-y^{2} \end{aligned}
Can x, y be found to satisfy the following equations simultaneously?
\begin{array}{l} \frac{2}{y}+\frac{5}{x}=19 \\ \frac{5}{y}-\frac{3}{x}=1 \\ 3 x+8 y=5 \end{array}
If so the find.
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