Identify the solutions of equations if any
x+2y=7
6x-2y=7
x+2y=7
6x-2y=7
Add the two equations.
7x = 14
x = 2
2 + 2y = 7
2y = 5
y = 2.5
5*+9=3*-36
To solve this system of equations, we can use the method of elimination. We'll add the two equations together to eliminate the y variable.
1. First, let's add the equations:
(x + 2y) + (6x - 2y) = 7 + 7
Simplifying the equation, we get:
7x = 14
2. Divide both sides by 7 to isolate the x variable:
7x/7 = 14/7
x = 2
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y.
3. Let's use the first equation, x + 2y = 7:
2 + 2y = 7
Now, isolate the y variable:
2y = 7 - 2
2y = 5
4. Divide both sides by 2 to solve for y:
2y/2 = 5/2
y = 5/2
Therefore, the solution to this system of equations is x = 2 and y = 5/2.