Question

Here is the graph of y= 5-x for values of x from 0 to 5.

a) On the same grid, draw the graph of y=x+1
b) Use the graphs to solve the simultaneous equations y=5-x and y=x+1​

Answer 1

Explanation:

I can provide you with the steps to solve the simultaneous equations y=5-x and y=x+1 using the given graphs.

a) To draw the graph of y=x+1 on the same grid, we can plot the points where x=0 and x=5, and connect them with a straight line. When x=0, y=1 and when x=5, y=6, so the line passes through (0,1) and (5,6).

b) To solve the simultaneous equations y=5-x and y=x+1, we can look for the point where the two graphs intersect on the same grid. This point represents the values of x and y that satisfy both equations simultaneously.

From the first equation, we know that when x=0, y=5, and when x=5, y=0. From the second equation, we know that when x=0, y=1, and when x=5, y=6.

By looking at the graphs, we can see that the two lines intersect at the point where x=4 and y=1. Therefore, the simultaneous solution of the equations is x=4 and y=1.