Question

Classify the system of equations and identify the number of solutions.7x + 3y = 10Зу = 9 - 7х

Answer 1

The system of equations are given

7x + 3y = 10

Зу = 9 - 7х

Simplify the second equation.

`7x+3y=9`

Solving the two equations gives no solution

10=9 , that is no solution.

And for check consistency it is clear that

`(7)/(7)=(3)/(3)\\e(10)/(9)`

Hence the pair of linear equations in two variables is said to be inconsistent and has none solution.

The correct option is b.