Solve (use the method of elimination by equating coefficients)
13x+11y=70
11x+13y=74
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13x+11y = 70...... (1)
11x+13y = 74........ (2)
Adding (1) and (2)
24x+24y = 144
x+y = 6........... (3)
Subtract (2) from (1)
2x-2y = -4
x-y = -2.....,.... (4)
Adding (3) and (4)
2x = 4
x = 2
Put the value x in (1)
2+y = 6
y = 4.
Hence x = 2 and y = 4.
11x+13y = 74........ (2)
Adding (1) and (2)
24x+24y = 144
x+y = 6........... (3)
Subtract (2) from (1)
2x-2y = -4
x-y = -2.....,.... (4)
Adding (3) and (4)
2x = 4
x = 2
Put the value x in (1)
2+y = 6
y = 4.
Hence x = 2 and y = 4.
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