Question

Solve the following pair of simultaneous equations using a graphical method:
y=5-2x; y=2x-7

Answer 1

To solve the pair of simultaneous equations y=5-2x and y=2x-7 using a graphical method, plot the equations on a graph and find the point where they intersect. This point represents the solution to the system of equations.

Step-by-step explanation:

To solve the pair of simultaneous equations y=5-2x and y=2x-7 using a graphical method, we can plot the equations on a graph and find the point where they intersect. This point represents the solution to the system of equations.

1. Plot the first equation by assigning different values to x and solving for y. For example, when x=0, y=5-2(0)=5. When x=1, y=5-2(1)=3. Plot these points and connect them to form a straight line.
2. Plot the second equation in the same way. When x=0, y=2(0)-7=-7. When x=1, y=2(1)-7=-5. Plot these points and connect them to form a straight line.
3. The point where the two lines intersect is the solution to the system of equations. In this case, the point is (2, -3).