Final answer:
To solve the system of equations x=y-1 and y=(1/2)x, substitute the first equation into the second equation, solve for y, and then substitute the value of y into the first equation to solve for x. The solution is x=-3 and y=-2.
Step-by-step explanation:
To solve the system of equations x=y-1 and y=(1/2)x, we can substitute the first equation into the second equation for y.
Substituting x=y-1 into y=(1/2)x:
y=(1/2)(y-1)
Multiply both sides by 2 to eliminate the fraction:
2y=y-2
Subtract y from both sides:
2y-y=-2
y=-2
Substitute the value of y into the first equation to solve for x:
x=-2-1
x=-3
Therefore, the solution to the system of equations is x=-3 and y=-2.