Answer:
x = 1, y = 10 
Step-by-step explanation:
y = -5x + 15 --- Equation 1 
2x + y = 12 --- Equation 2 
Substitute y = -5x + 15 into Equation 2: 
2x + y = 12
2x - 5x + 15 = 12
Evaluate like terms. 
15 - 3x = 12
Isolate -3x. 
-3x = 12 - 15
Evaluate like terms. 
-3x = -3 
Find x. 
x = -3 ÷ -3
x = 1 
Substitute x = 1 into Equation 2: 
2x + y = 12
2(1) + y = 12
2 + y = 12
Isolate y. 
y = 12 - 2
y = 10 
 
        
                    
             
        
        
        
Answer:
see the explanation
Step-by-step explanation:
we now that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
 or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem we have

This is the equation of the line in slope intercept form
where

The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
 
        
             
        
        
        
Answer:
Bracket, Multiply/Divide, Add/Subtract
Step-by-step explanation:
Follow the PEMDAS method
P-Parenthesis
E-Exponent
M-Multiply
D-Divide
A-Addition
S-Subtraction 
 
        
             
        
        
        
Since for the two triangles, the three pairs of corresponding sides are congruent, then the triangles are congruent and their areas are equal.
area = 4 square units