Question

For solving each pair of equations, use the method of eliminations by equating coefficients:

$41x+53y=135$

$53x+41y=147$

Answer 1

41x + 53y = 135...(1)

53x + 41y = 147...(2)

Adding (1) and (2)

94x + 94y = 282

x + y = 3...(3)

Subtracting (2) from (1)

-12x+12y=-12

-x+y=-1...(4)

(4) + (3)

2y = 2
y = 1

From (3)

x + 1 = 3
x = 2