We have been given a system of equations. 
and 
. We are asked to find the solution of our given system of equations.
The solution of our given system of equations will be the point, where both lines will intersect.
To find intersection point, we will equate both equations as:
Now we will substitute in equation and solve for y.
Therefore, the point 
is the solution of our given system of equations.
We can verify our answer by graphing both equations.
Answer:
270 Degree Rotation
Step-by-step explanation:
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
Answer:
x=3
Step-by-step explanation:
Simplifying
9x + -4 = 3x + 14
Reorder the terms:
-4 + 9x = 3x + 14
Reorder the terms:
-4 + 9x = 14 + 3x
Solving
-4 + 9x = 14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-4 + 9x + -3x = 14 + 3x + -3x
Combine like terms: 9x + -3x = 6x
-4 + 6x = 14 + 3x + -3x
Combine like terms: 3x + -3x = 0
-4 + 6x = 14 + 0
-4 + 6x = 14
Add '4' to each side of the equation.
-4 + 4 + 6x = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 6x = 14 + 4
6x = 14 + 4
Combine like terms: 14 + 4 = 18
6x = 18
Divide each side by '6'.
x = 3
Simplifying
x = 3
Substitute value of y from equation 1st into 2nd,
5x + 2y = 7
5x + 2(x - 7) = 7
5x + 2x - 14 = 7
7x = 7 + 14
x = 21 / 7
x = 3
Now, y = 3 - 7 = -4
In short, Your Answer would be Option B) (3, -4)
Hope this helps!
