Question

Determine the number of solutions for this system of equations by inspection only. 3x+4y=17

21x+28y=109

Answer 1

no solution

Explanation:

to understand this

you need to know about:

• system of linear equation

tips and formulas:

• a system of linear equation has no solution if
  `(a_1)/(a_2)=(b_1)/(b_2)\\eq (c_1)/(c_2)`

let's solve:

according to the question

`(3)/(21) = (4)/(28) \\eq (17)/(109) \\ (1)/(7) = (1)/(7) \\eq (17)/(109)`

therefore

the system of linear equation has no solution