Question

Use the diagram to work out the solution to these simultaneous equations: 2x 5, -x 8 (part a)

what do you notice about the value of y in each equation, and the value of y compared to the solution in part a

Answer 1

The solutions to the simultaneous equation is (x, y) = (2, 5)

y = 5, y = 5; the values are the same

The values are the same as in part (a)

How to determine the solutions to the simultaneous equations

From the question, we have the following parameters that can be used in our computation:

y = 2x +1

y = -x +7

The graph shows the lines cross at the point (x, y) = (2, 5).

The solution to the equations is (x, y) = (2, 5).

For the values of y

i) For x = 2, the value of y in the first equation is ...

y = 2(2) +1 = 4 +1 = 5

For x=2, the value of y in the second equation is ...

y = -(2) +7 = -2 +7 = 5

The values of y are the same, and match the value we found in part (a)