Question

(08.03)Solve the system of equations and choose the correct answer from the list of options. x + y = −3 y = 2x + 2 five over 3 comma 4 over 3 negative 5 over 3 comma negative 4 over 3 negative 3 over 5 comma negative 3 over 4 3 over 4 comma 3 over 5

Answer 1

Option 2nd is correct

`(-(5)/(3), -(4)/(3))`

Explanation:

Given the system of equation:

`x+y = -3` .....[1]

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

Substitute equation [2] into [1] we have;

x + 2x+ 2 = -3

Combine like terms;

3x +2 = -3

Subtract 2 from both sides we have;

3x = -5

Divide both sides by 3 we have;

`x = -(5)/(3)`

Substitute the value of x in [2] we have;

`y = 2 \cdot (-5)/(3) +2 = -(10)/(3) + 2 = -(4)/(3)`

Therefore, the solution for the given system is,
`(-(5)/(3), -(4)/(3))`

Answer 2

x + y = -3 . . . (1)
y = 2x + 2 . . . (2)

substituting (2) into (1) gives, x + 2x + 2 = -3
3x = -5
x = -5/3

From (2), 2(-5/3) + 2 = -10/3 + 2 = -4/3

Required solution (-5/3, -4/3)