Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24   ----- eqn 1
x + 4y = 8   -------- eqn 2               
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y  ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12  = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
 
        
             
        
        
        
9514 1404 393
Answer:
   y = -1/2x + 3
Step-by-step explanation:
It can work to start with the 2-point form of the equation for a line.
   y = (y2 -y1)/(x2 -x1)(x -x1) +y1
   y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values
   y = -4/8(x +4) +5 . . . . . . . . simplify a bit
   y = -1/2x -2 +5 . . . . . .eliminate parentheses
   y = -1/2x +3 . . . . collect terms
 
        
             
        
        
        
Answer:
imagine
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
<u>Trigonometric Ratios</u>
There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.
The appropriate relation that we must use to find x is

Solving for x


 
        
             
        
        
        
Answer:
x^3y^2+x^2y^3-x^2-y^2
Step-by-step explanation:
I will edit my answer if you need my explanation. 
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