Use technology to determine an approximate solution to the system y=-0.44x+12.6 and y=-7.21x-55.6. Explain the procedure.

The approximate solution to both systems is y = 17.03256 & x = - 10.074

Step-by-step explanation:

Because we have 2 equations we can simply graph each of them simultaneously and find the answer.

First we are going to graph y = - 0.44x + 12.6

Now.. We are going to graph y = - 7.21x - 55.6

Now that we have graphed both of our functions we know that the locations where the two lines meet otherwise known as the intersect is the solution to the equation.

Now that we know coordinate of x at the intersection point of the two lines is: - 10.074, we can input this number in as a substitute for our x because x = - 10.074

Therefor to verify,

y = - 0.44(-10.074) + 12.6

y = 17.03256

and now we substitute y into the other equation and find for x...

17.03256 = - 7.21x - 55.6

x = - 10.074

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3