solutions are (0,2) and (-1,4).
there are two equations given for which graphing is to be done.
equations are y = -2x+)
and y = -x²-3x+)
now we will solve the equations to get the values of x and y or the coordinates of intersection of these two graphs.
by substituting y from equation 2 into equation 1.
- x²-3x+2 = -2x+2
-x²-3x+2x = 0
-x²-x = 0
x²+x = 0
x(x+1)=0 ⇒ x = 0 and x = -1
now we put these values of x in equation 2.
for x = 0 y = -2×0+2 = 2
for x = -1 y = 2+2 = 4
so they intersect each other at (0,2) and (-1,4).
we are given the following expression and we are to simplify it leaving the answer in the form of an improper fraction:
we will start by adding the first two fractions by taking their lcm and making it a single fraction to simplify the expression further:
now subtracting from the result obtained above:
five times 0 equals 0 plus 6 would equal 6