In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
Answer:
I think the answer is 2n-5
(-3n + 2)+(5n - 7)
-3n+5n=2n
2+(-7)=-5
The answer to the question is (-3,3)
Answer:
(p+e)/(r-n) = x
Step-by-step explanation:
p + nx=rx-e
Add e to each side
p +e+ nx=rx-e+e
p +e+ nx=rx
Subtract nx from each side
p +e+ nx - nx=rx-nx
p+e = rx -nx
Factor out x
p+e = x(r-n)
Divide each side by (r-n)
(p+e)/(r-n) = x(r-n)/(r-n)
(p+e)/(r-n) = x
