Answer:
The solution to the following system of equations by graphing 9x+8y=26 and 3x+2y=9 is (3.3 , -0.5)
Step-by-step explanation:
Given : Equations 9x + 8y = 26 and 3x + 2y = 9
we have to determine the solution of the following system of equations by graphing.
We will plot both the lines first and then plot them and the point where both lines intersect will given the solution of the system of equations.
Consider
Equation 9x + 8y = 26
1) Put x = 0
then 8y = 26
y = 3.25
2) Put y = 0
then 9x = 26
x = 2.8
Thus, Points for first lines are (0,3.25) and (2.8, 0)
Similarly , for equation 3x + 2y = 9
1) Put x = 0
then 2y = 9
y = 4.5
2) Put y = 0
then 3x = 9
x = 3
Thus, Points for second lines are (0,4.5) and (3, 0).
Now plot the graph , we obtain as shown below in attachment.
The point where these two equation intersect is (3.3 , -0.5)
Thus, The solution to the following system of equations by graphing 9x+8y=26 and 3x+2y=9 is (3.3 , -0.5)
