Final answer:
To solve the system of equations by graphing, plot the graphs of each equation and find the point(s) of intersection.
Step-by-step explanation:
To solve the system of equations by graphing, we need to plot the graphs of each equation and find the point(s) of intersection. Let's solve each equation one by one:
a) x + y = 8
First, we rewrite the equation in slope-intercept form by solving for y:
y = -x + 8
Plot this equation on the graph and label the points.
b) 3x - y = 4
Rewrite the equation in slope-intercept form:
y = 3x - 4
Plot the graph of this equation and label the points.
c) 4x - y = 43
Rewrite the equation in slope-intercept form:
y = 4x - 43
Plot the graph and label the points.
d) 2x + y = 10
Rewrite the equation in slope-intercept form:
y = -2x + 10
Plot the graph and label the points.
Now, look for the point(s) of intersection on the graph. These are the solutions to the system of equations.