The way to determine the number of solutions is to complete the problem in multiple different ways.
Answer: 8z 8(z)
Explanation: well 8 times z is simply 8(z)I don’t really think there is another way
ABCD is a square . if the coordinates of three of its vertices are A(-1,2a), B(a,2a), C(a,0), find the coordinates of D. BC is obviously 2a (it's a vertical line) then AB must be 2a (notice AB is horizontal) so BC = AC because it is a square 2a = a+1 a=1
QUESTION 1
We want to solve,
We factor the denominator of the fraction on the right hand side to get,
This implies
We multiply through by LCM of
We expand to get,
We group like terms and equate everything to zero,
We split the middle term,
We factor to get,
But
is not in the domain of the given equation.
It is an extraneous solution.
is the only solution.
QUESTION 2
We add x to both sides,
We square both sides,
We expand to get,
This implies,
We solve this quadratic equation by factorization,
But
is an extraneous solution
Answer:
x = 0
y = -2
Step-by-step explanation:
The given system of equation are:
5x + y = -2
2x - 2y = 4
The problem here is to find x and y from the expression
5x + y = -2 ----- i
2x - 2y = 4 ---- ii
So;
i x 2 : 10x + 2y = -4 ---- iii
ii x 5 : 10x - 10y = 20 ----- iv
iii - iv; 12y = -24
y = -2
Now find x;
5x + y = -2
5x - 2 = -2
x = 0