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 :)
