Can someone help me please??

Solution: (0, 4)

Step-by-step explanation:

Equation 1: x - 3y = -12

Equation 2:  4x + y = 4

Transform both equations into slope-intercept form

Equation 1:  x - 3y = -12

x - 3y - x = - x -12  

- 3y = -x - 12

Divide both sides by -3:

y= 1/3x + 4

slope (m) = 1/3

y -intercept is (0, 4)

Equation 2:  4x + y = 4

Subtract 4x on both sides:

4x + y - 4x = -4x + 4  

y = -4x + 4

Slope (m) = -4

y - intercept = (0, 4)

Since both equations have the same y-intercept, then it means that the value of x = 0 and y = 4 will satisfy both equations.  

Therefore, the solution is (0, 4).

To graph both equations, start at point (0, 4). Then use the slopes of each equation to plot other points and create lines for each given equation. Hope this helps.

32

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.