Answer:
5. x = 5, y = 3
6. x = 0, y = 4
7. x = -1, y = 1
Step-by-step explanation:
5. substitute 3(value of y) into the equation y = x - 2:
=> 3 = x - 2 
=> x = 5
6. substitute 0(value of x) into the equation y = x + 4:
=> y = 0 + 4
=> y = 4
7. substitute 1(value of y) into the equation y = 2x + 3:
=> 1 = 2x + 3
=> 2x = -2
=> x = -1
 
        
             
        
        
        
Answer:
System A has 4 real solutions.
System B has 0 real solutions.
System C has 2 real solutions
Step-by-step explanation:
System A:
x^2 + y^2 = 17   eq(1)
y = -1/2x            eq(2)
Putting value of y in eq(1)
x^2 +(-1/2x)^2 = 17
x^2 + 1/4x^2 = 17
5x^2/4 -17 =0
Using quadratic formula:

a = 5/4, b =0 and c = -17

Finding value of y:
y = -1/2x


System A has 4 real solutions.
System B
y = x^2 -7x + 10    eq(1)
y = -6x + 5            eq(2)
Putting value of y of eq(2) in eq(1)
-6x + 5 = x^2 -7x + 10
=> x^2 -7x +6x +10 -5 = 0
x^2 -x +5 = 0
Using quadratic formula:

a= 1, b =-1 and c =5

Finding value of y: 
y = -6x + 5
y = -6(\frac{1\pm\sqrt{19}i}{2})+5
Since terms containing i are complex numbers, so System B has no real solutions.
System B has 0 real solutions.
System C
y = -2x^2 + 9    eq(1)
8x - y = -17        eq(2)
Putting value of y in eq(2)
8x - (-2x^2+9) = -17
8x +2x^2-9 +17 = 0
2x^2 + 8x + 8 = 0
2x^2 +4x + 4x + 8 = 0
2x (x+2) +4 (x+2) = 0
(x+2)(2x+4) =0
x+2 = 0 and 2x + 4 =0
x = -2 and 2x = -4
x =-2 and x = -2
So, x = -2
Now, finding value of y:
8x - y = -17    
8(-2) - y = -17    
-16 -y = -17
-y = -17 + 16
-y = -1
y = 1
So, x= -2 and y = 1
System C has 2 real solutions
 
        
                    
             
        
        
        
Answer:
13
Step-by-step explanation:
Not sure, i'm sorry
should be the same logic as 
a=b 
b=c 
a=c
 
        
             
        
        
        
Ok for this you just plug any number for x and 2 is your y intercept ... -3/5 is slope slope is the change in y over the change in x so you go down 3 because the 3 is negative and to the right 5 because 5 is positive. so two points on the line y=3/5+2 are (-5,-1) and (-10, -4).