The solution to the system of equation is
Step - by - Step Explanation
What to find?
• The points on the first equation.
,• The points on the second equation.
,• The solution of the system of equation.
Given:
x + y = 5
y=4x
Before graphing, we need to find the points on each of the equation.
To find these points, we simply find the x and y-intercept of each equation.
For the first equation, to find the y-intercept, substitute x=0 into the equation and solve for y.
That is;
0+y = 5
y=5
The y - intercept is (0, 5).
Substitute y=0 into the first equation to find the x-intercept of the first equation.
x+0=5
x=5
The x-intercept = (5, 0).
The points on the first equation are
(0, 5) and (5, 0).
Next, find the x and y-intercept of the second equation.
Substitute x=0 into the second equation to determine its y-intercept.
y=4(0) =0
The y-intercept is (0, 0).
Substitute y=0 into the second equation to determine its x-intercept.
0=4x
x=0
The x-intercept = (0, 0).
Hence, the points on the second line is (0,0).
Below is the sketch of the graph.
The sloution of the system is where the two lines meet.
Therefore,
