I am really confused to this question can someone explain to me step by step please!
In this problem we are given an equation in x any y (2y +4x =8) and three values of x (-2, 1, 3).
For each value of x we are required to find the corresponding value of y that would make the given equation TRUE.
First value of x=-2
Second value of x=1
Third value of x= 3
First choose the first value of x. That is x=-2. Now substitute x=-2 into the equation 2y +4x =8
we have 2y + 4(-2)=8, ( note 4 times -2 equals -8).
Thus we have 2y -8 =8 . Now we add 8 to both sides of the equation to leave just the term in y on the left side of equal sign. 2y -8 +8 = 8+8 ;
this is equal to: 2y = 16 ; Now to find for y we have to divide both sides by 2: this gives
2y/2 = 16/2 ; finally y = 8. We therefore found that when x=-2 then y= 8.
We can check our answer by substituting x =-2 and y =8 in the equation (2y +4x =8) to see if the equation is true. Substituting we have, 2(8) + 4(-2) = 8 ; which is 16 -8 =8 ; which is 8=8 ; which is true.
The above procedure is repeated for the second and third values of x.