How do you determine whether a linear system has one solution, many solutions, or no solution when given 10x - 9y = 46 and -2x + 3y = 10?

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Answer 1 · 2018-05-31T12:36:13

#color(brown)(x = 19, y = 16#

#10x - 9y = 46#, Eqn (1)

#-2x + 3y = 10#, Eqn (2)

#-10x + 15y = 50#, multiplying Eqn (2) by 5 - Eqn (3)

Adding Eqns (1) & (3),

#6y = 96# or #y = 16#

Substituting value of y in Eqn (1),

#10x - 144 = 46# or #x = 19#