2x+y=3
2x-y=1
find the value of x and y?
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clearly
x=1 and y=1
To find the values of x and y, we can solve the given system of equations using the method of elimination. Here are the steps:
Step 1: Start by adding the two equations together to eliminate the variable "y":
(2x + y) + (2x - y) = 3 + 1
This simplifies to:
4x = 4
Step 2: Now, divide both sides of the equation by 4 to isolate x:
4x/4 = 4/4
This simplifies to:
x = 1
Step 3: Substitute the value of x = 1 back into either of the original equations. Let's choose the first equation:
2(1) + y = 3
Simplifying this equation, we get:
2 + y = 3
Step 4: Solve for y by subtracting 2 from both sides of the equation:
2 + y - 2 = 3 - 2
This simplifies to:
y = 1
Therefore, the solution to the system of equations is x = 1 and y = 1.
x = 2
y = 1