Question

Determine the number of solutions for this system of equations by inspection only. Explain.

7x+4y=
16 42x+24y
=110

Answer 1

No solution (C)

Explanation:

System of Linear Equations given :

[1] 7x + 4y = 16

[2] 42x + 24y = 110

Solve by Substitution :'

// Solve equation [2] for the variable y

[2] 24y = -42x + 110

[2] y = -7x/4 + 55/12

// Plug this in for variable y in equation [1]

[1] 7x + 4•(-7x/4+55/12) = 16

[1] 0 = -7/3 => NO solution

No solution (C)