Answer:
[tex]x = 8[/tex]
[tex]y = -3[/tex]
Step-by-step explanation:
Given :
[tex]y = -x + 5[/tex] ...................... equation 1
[tex]x + 2y = 2[/tex] ........................ equation 2
solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is
[tex]x + 2(-x+5) = 2[/tex]
[tex]x - 2x + 10 = 2[/tex]
[tex]-x + 10 = 2[/tex]
collect the like terms
[tex]10 - 2 = x[/tex]
therefore :
[tex]x = 8[/tex]
substitute [tex]x = 8[/tex] into equation 1 to find the value of y , that is
[tex]y = -8 + 5[/tex]
[tex]y = -3[/tex]
Therefore :
[tex]x = 8[/tex]
[tex]y = -3[/tex]
