Question

Solve the simultaneous equation x + y = 4 and 2x -y=2 by graphical method

Answer 1

Answer:

x+y=4 and 2x-y-5 solve the simultaneous equations

Answer 2

The simultaneous equations x + y = 4 and 2x - y = 2 may be solved graphically by plotting the two equations on a graph and locating the intersection, which will reveal the answer.

• We may change the first equation, x + y = 4, to become y = -x + 4, and then plot it as a straight line. We may change the second equation 2x - y=2 to get y = 2x - 2 and then represent it as another straight line.

• The two lines will meet at a location on the graph. The simultaneous equation's solution is represented by this point. In this situation, the answer is x=2 and y=2.

• We may enter x=2 and y=2 to test whether the original equations still hold true to see if this is the right answer. These values are substituted, and the result is:

x + y = 4: 2 + 2 = 4 (true)

2x - y = 2: 2(2) - 2 = 2 (true)

• As a result, using a graphical technique, the answers to the simultaneous equations x + y = 4 and 2x - y = 2 are x = 2 and y = 2.

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