The y-coordinate that represents the solution to the system of equations is 4
The equations are given as:
[tex]-x+y=1[/tex]
[tex]3x-y=5[/tex]
Make x, the subject in the first equation
[tex]-x+y=1[/tex]
[tex]x = y - 1[/tex]
Substitute y - 1 for x in the second equation
[tex]3x-y=5[/tex]
[tex]3(y - 1) - y = 5[/tex]
Open the brackets
[tex]3y - 3- y = 5[/tex]
Collect the like terms
[tex]3y - y = 5+3[/tex]
Evaluate the like terms
[tex]2y = 8[/tex]
Solve for y
[tex]y = 4[/tex]
Hence, the y-coordinate is 4
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