Given:
#y=-1/2x+9" ".....................Equation(1)#
#y=color(white)("dddd")x+7" "......................Equation(2)#
#color(blue)("Determine the value of "y)#
#2y=-x+18 color(white)("dd")larr 2xx Equation(1) #
#ul(color(white)("d")y=color(white)("dd")x+7color(white)("ddd") larr" Equation(2))#
#3y = 0 +25 larr" Added"#
Divide both sides by 3
#y=25/3#
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#color(blue)("Determine the value of "x)#
Substitute for #y# in #Equation(2) larr# most straight forward
#y=x+7color(white)("ddd") -> color(white)("ddd")25/3=x+7#
Subtract 7 from both sides
#4/3=x# Write this as per convention
#x=4/3#
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#color(blue)("The point shared by the two plots (solution) is:")#
#(x,y)=(4/3,25/3)#
