Solve the system of equations by graphing.
y=- 4x - 5
Ty=x+5
Use the graphing tool to graph the system

The given system of equations is and

We need to determine the solution to the system of equations.

Plotting the equation :

The equation   can be plotted in the graph using the x and y intercepts.

When , the equation becomes

When , the equation becomes

Hence, joining these coordinates (0,-5) and (-1.25, 0), we get the line for the equation  

Plotting the equation :

The equation can be plotted in the graph using the x and y intercepts.

When , the equation becomes

When , the equation becomes

Hence, joining these coordinates (0,5) and (-5,0), we get the line for the equation  

Solution of the system of equations:

The solution of the system of equations is the point of intersection of these two lines.

Thus, from the graph, the lines intersect at the point (-2,3)

Hence, the solution to the system of equations is (-2,3)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

where are the choices?