The solution for the given system of equations (x,y) is (1,1).
Step-by-step explanation:
The given system of equations are [tex]y = -5x+6[/tex] and [tex]y = 3x-2[/tex].
The given equations can be modified as :
[tex]5x+y = 6[/tex] ----------(1)
[tex]3x-y = 2[/tex] --------(2)
To solve the system of equations, you can use elimination method.
The first step is to add both the equations.
[tex]5x+y = 6[/tex]
(+) [tex]3x-y = 2[/tex]
--------------------
8x = 8
⇒ x = 8/8
⇒ x = 1.
The x value is 1.
The second step is to substitute x = 1 in any of the two equations.
So, put x = 1 in equation (1),
⇒ 5(1) + y = 6
⇒ 5 + y = 6
Subtract 5 on both sides, to get y value.
⇒ 5+y-5 = 6-5
⇒ y = 1
The y value is 1.
The solution to the system of equations is be given by (x,y).
Therefore, the solution is (1,1).
