The x-coordinate of the solution to:
6x+2y=8
3x+2y=-7
To find the solution to the system of equations, we can use the method of substitution.
Let's solve the first equation, 6x + 2y = 8, for x:
6x = 8 - 2y
x = (8 - 2y)/6
x = (4 - y)/3
Now substitute this value of x into the second equation, 3x + 2y = -7:
3((4 - y)/3) + 2y = -7
4 - y + 2y = -7
4 + y = -7
y = -7 - 4
y = -11
Now substitute the value of y back into the equation x = (4 - y)/3:
x = (4 - (-11))/3
x = (4 + 11)/3
x = 15/3
x = 5
Therefore, the solution to the system of equations is x = 5.