Final answer:
To estimate the solution of the system of equations by graphing, we need to plot the graphs of both equations and find their point of intersection. By graphing the equations, we can see that they intersect at the point (3/2, 7/4). Therefore, the estimate of the solution to the system of equations is x = 3/2 and y = 7/4.
Step-by-step explanation:
To estimate the solution of the system of equations by graphing, we need to plot the graphs of both equations and find their point of intersection. This point will provide an estimate of the solution. Let's start by graphing the first equation.
First equation: 9x + 8y = 26
To graph this equation, we can rearrange it in terms of y:
y = (-9/8)x + (26/8)
From this equation, we can see that the slope is -9/8 and the y-intercept is 26/8.
Now, let's graph the second equation.
Second equation: 3x + 2y = 9
To graph this equation, we can rearrange it in terms of y:
y = (-3/2)x + (9/2)
From this equation, we can see that the slope is -3/2 and the y-intercept is 9/2.
Now, let's plot the graphs of both equations on the same coordinate plane and find their point of intersection.
By graphing the equations, we can see that they intersect at the point (3/2, 7/4). Therefore, the estimate of the solution to the system of equations is x = 3/2 and y = 7/4.