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 :)
