A system of equations is shown below:
x + y = 3
2x – y = 6
The x-coordinate of the solution to this system of equations is _____.
just add the two equations, and you have
3x = 9
so the x coordinate is 3
To find the x-coordinate of the solution to this system of equations, we can solve the equations using the method of substitution or elimination.
Let's solve the system using the method of elimination:
1. Multiply the first equation by 2:
2(x + y) = 2(3)
2x + 2y = 6
2. Rewrite the second equation:
2x - y = 6
3. Subtract the second equation from the first equation:
(2x + 2y) - (2x - y) = 6 - 6
2x + 2y - 2x + y = 0
3y = 0
4. Solve for y:
3y = 0
y = 0/3
y = 0
5. Substitute y = 0 into one of the original equations. Let's use the first equation:
x + y = 3
x + 0 = 3
x = 3
Therefore, the x-coordinate of the solution to this system of equations is x = 3.