Question

What is the solution to this system of linear equations?

2x+y=1
3x-y=-6

A. (-1,3)
B. (1,-1)
C. (2,3)
D. (5,0)​

Answer 1

Choice A is correct. (-1,3) is the solution.

Explanation:

We have given the system of linear equations:

2x+y=1 (eq I)

3x-y=-6 (eq Ii)

We have to find the solution of system of linear equations.

find the value of y from (eq I) and put in (eq II) we have,

y = 1 - 2x ( eq III)

Now put this value is (eqI) .

3x-(1 - 2x) = -6

3x - 1 + 2x = -6

5x = -6+1

5x = -5

x = -1

Now, put this value of x in ( eq III) we have,

y = 1 - 2(-1)

y = 1 +2

y = 3

(-1,3) is the solution to this system of linear equations.

Answer 2

A. (-1,3)

Explanation:

To solve this problem, enter equation (i) in equation (ii)

2x+y=1 (i)

y= 1 -2x

3x-y=-6 (ii)

3x - (1-2x) = -6

3x - 1 +2x = -6

5x = -5

x = -1. (iii)

Replace (iii) in (i) and clear y

2(-1) + y = 1

y = 1+2

y = 3

The solution is Option A. (-1, 3)