Question

What is the solution to the system of equations graphed below?

Answer 1

B ; ( 3,-2 ) is the solution to the two graphs

Answer 2

Answer:

( 3 , -2 )

Option B is the correct option.

Step-by-step explanation:

$y = - 2x + 4...........(i)$

$y = x - 5..........(ii)$

Equate ( i ) and ( ii ),

$- 2x + 4 = x - 5$

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

$- 2x - x = - 5 - 4$

Calculate

$- 3x = - 9$

Divide both sides of the equation by -3

$\frac{ - 3x}{ - 3} = \frac{ - 9}{ - 3}$

Any expression divided by itself equals 1

$x = \frac{ - 9}{ - 3}$

Dividing two negatives equals a positive $( - ) \div ( - ) = ( + )$

$x = \frac{9}{3}$

calculate the quotient

$x = 3$

Value of X is 3

Now, put the value of X in equation ( i ) in order to find the value of y

$y = x - 5$

plug the value of X

$= 3 - 5$

Calculate

$= - 2$

Value of y is -2

So, ( 3 , -2 ) is the solution of the given equation.

Hope this helps ....

Best regards!!