Question

Consider the system of linear equations 2x + 3y = 8 and 3x+y=-2. Which statement is correct
The point (1.2) is not a solution to the system of equations because it satisfies neither equation
The point (1.2) is not a solution to the system of equations because it does not satisfy the equation Sxy=-2
The point (1.2) is a solution to the system of equations because it satisfies the equation 2x+3y=8
The point (1.2) is a solution to the system of equations because it satisfies both equations

Answer 1

Answer:

The point (1.2) is not a solution to the system of equations because it satisfies neither equation

Step-by-step explanation:

if a given point is a solution of a system of equation that point must satisfy every equation at the same time

If we evaluate the point in one of the equations of the system only satisfy one of them

Answer 2

The point (1,2) is not a solution to the system of equations because it satisfies neither equation and this can be determined by using arithmetic operations.

Given :

Equations --   2x + 3y = 8  ---- (1)

                      3x + y = -2   ---- b

To determine the solution of the given equation, solve one of the two given equations for y.

2x + 3y = 8

3y = 8 - 2x

$\rm y = \dfrac{8-2x}{3}$  ----- (3)

Now, put the value of 'y' in equation (2).

$\rm 3x + \dfrac{8-2x}{3} = -2$

9x + 8 - 2x = -6

7x = -14

x = -2

Now, put the value of 'x' in equation (3).

$\rm y =\dfrac{8-(2\times -2)}{3}$

y = 4

Therefore, the correct option is A) The point (1,2) is not a solution to the system of equations because it satisfies neither equation.

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