Question

Y=x-1 2x-3y=-1 y=6x-11 -2x-3y=7 y=-5x-17 -3x-3y=3 y=5x-7 -3x-2y=-12

Answer 1

Answer:

(4,3)

Step-by-step explanation:

y=x-1 2x-3y=-1

y=6x-11 -2x-3y=7

y=-5x-17 -3x-3y=3

y=5x-7 -3x-2y=-12

To solve a system of  2  variables, only  2  equations are required. Choose the first two equations containing the variables in the system.

y = x − 1 2 x − 3 y = − 1

Subtract  x  from both sides of the equation.

y − x = − 1 2 x − 3 y = − 1

Reorder the polynomial.

− x + y = − 1 2 x − 3 y = − 1

Multiply each equation by the value that makes the coefficients of  x  opposite.

( 2 ) ⋅ ( − x + y ) = ( 2 ) ( − 1 ) 2 x − 3 y = − 1

Simplify.

− 2 x + 2 y = − 2 2 x − 3 y = − 1

Add the two equations together to eliminate  x  from the system.

− 2 x + 2 y = − 2 + 2 x − 3 y = − 1 − y = − 3

Multiply each term in  − y = − 3  by  − 1

y = 3

Substitute the value found for  y  into one of the original equations, then solve for  x .

x = 4

The solution to the independent system of equations can be represented as a point.

( 4 , 3 )

The result can be shown in multiple forms.

Point Form:

( 4 , 3 )

Equation Form:  

x = 4 , y = 3

Hope This helps bro, good luck , and have a good day :)