Question

Solve the following sets of simultaneous equations.
2x+y=5;3x-y=5

Answer 1

To solve the simultaneous equations 2x+y=5 and 3x-y=5, we used the elimination method to find x = 2 and y = 1.

Step-by-step explanation:

Solving Simultaneous Equations

To solve the simultaneous equations 2x+y=5 and 3x-y=5, we can use either the substitution method or the elimination method. In this case, we will use the elimination method.

1. Begin by rewriting both equations:

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Add the two equations together to eliminate y:

2x + y + 3x - y = 5 + 5

This simplifies to 5x = 10

Divide both sides by 5 to solve for x:

x = 2

Substitute the value of x into one of the original equations to solve for y:

Substituting into Equation 1: 2(2) + y = 5

This gives us y = 1

The solution to the system of equations is x = 2 and y = 1.