To solve the linear equations given, first, we need to clarify the equations as there seems to be some confusion in the notation. Assuming the intended equations are:
- 2x + y = 1
- 3x + y = 6
We can solve these equations using the method of substitution or elimination. Let’s use the elimination method here.
- From the first equation, we can express y in terms of x:
- y = 1 – 2x
- Now, substitute this expression for y into the second equation:
- 3x + (1 – 2x) = 6
- Simplifying that gives:
- 3x + 1 – 2x = 6
- x + 1 = 6
- x = 5
- Now that we have the value of x, substitute it back into the equation for y:
- y = 1 – 2(5)
- y = 1 – 10
- y = -9
Thus, the solution to the system of equations is:
- x = 5
- y = -9
In conclusion, the pair (5, -9) satisfies both equations, making it the solution to the linear system.