Answer:
x = 1/3
Step-by-step explanation:
Hello,
we can draw the two lines defined by
y = 4 - x
y = 2x + 3
And search for the intersection point as below
This is the point A (1/3, 11/3)
Do not hesitate if you have any question
Thanks
Answer:
Step-by-step explanation:
Graph the two lines separately but on the same graph paper, and then from the completed graph read off the coordinates of the point of intersection.
y = 4 - x has a y-intercept of 4 and a slope of -1. Plot the point (0, 4) and then draw a line with slope -1 through it.
y = 2x + 3 has a y-intercept of 3 and a slope of 2. Plot (0, 3) and then draw a line with slope +2 through it.
As a check, solve for x and y algebraically:
4 - x = 2x + 3 becomes 1 - x = 2x, or 3x = 1. Then x = 1/3.
Use y = 4 - x to find the y value when x = 1/3:
y = 4 - 1/3 = 11/3
Thus, the solution is (1/3, 11/3)
