Question

Solve the system of equations given below.

Answer 1

The system of this equation is ( -1, 10) which is Option A.

Explanation:

Solve for y in the first equation.

`y = - 5x + 5 \\ - 2y = - x - 21`

Replace all occurrences of yy with -5x+5 in each equation.

`10x - 10 = - x - 21 \\ y = - 5x + 5`

Solve for x in the first equation.

`x = - 1 \\ y = - 5x + 5`

Replace all occurrences of x with -1 in each equation.

`y = 10 \\ x = - 1`

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10).

Option A.