The values of x and y that satisfy the equation [tex]$10=x+2 y$[/tex] are
(1) when [tex]x=0[/tex] ⇒ [tex]y=5[/tex]
(2) when [tex]x=2[/tex] ⇒ [tex]y=4[/tex]
(3) when [tex]y=0[/tex] ⇒ [tex]x=10[/tex]
Explanation:
The given equation is [tex]$10=x+2 y$[/tex]
Now, we shall determine the values of x and y such that the values satisfy the equation.
(1) To find the value of y, when [tex]x=0[/tex]
Substituting, [tex]x=0[/tex] in the equation [tex]$10=x+2 y$[/tex], we get,
[tex]10=2y\\5 \ =y[/tex]
Thus, the value of y when [tex]x=0[/tex] is 5.
(2) To find the value of both x and y.
Since, it is given that we need to choose on our own the x-value or y-value, let us substitute [tex]x=2[/tex] in the equation [tex]$10=x+2 y$[/tex], we have,
[tex]10=2+2 y\\8 \ =2y\\4 \ =y[/tex]
Thus, the value of y when [tex]x=2[/tex] is 4
(3) To find the value of x when [tex]y=0[/tex]
Substituting [tex]y=0[/tex] in the equation [tex]$10=x+2 y$[/tex], we get,
[tex]10=x+2(0)\\10=x[/tex]
Thus, the value of x when [tex]y=0[/tex] is 10.