Question

Given the system of equations, what is the solution? 2x + y = -1 x - y = -5

{(-8, -3)}
{(2, 7)}
{(-2, 3)}

Answer 1

Option C is correct

Solution for the given equation is ( -2 , 3)

Explanation:

Given the system of equation:

2x+ y = -1 ......[1]

x- y = -5 .....[2]

we can rewrite equation [2] as;

y = x+5 ......[3]

Substitute equation [3] in [1] we have;

2x + x +5 = -1

Combine like terms;

3x + 5 = - 1

Subtract 5 to both sides of an equation:

3x + 5 -5 = -1 -5

Simplify:

3x = -6

Divide both sides by 3 we get;

`(3x)/(3) =(-6)/(3)`

Simplify:

x = -2

Substitute the value of x in equation [3] we get

y= x + 5

y = -2 +5 = 3

Therefore, the value of x = -2 and y = 3

hence, the solution for the given equation is ( -2 , 3)