Questions: x-y=3 2x-y=-1

Transcript text: \[ x-y=3 \] $2 x-y=-1$

Solution

Step 1: Write down the system of equations

We are given the following system of equations: $\begin{cases} x - y = 3 \quad \text{(1)} \\ 2x - y = -1 \quad \text{(2)} \end{cases}$

Step 2: Subtract equation (1) from equation (2)

Subtract equation (1) from equation (2) to eliminate $y$ : $(2x - y) - (x - y) = -1 - 3$ Simplify: $2x - y - x + y = -4$ $x = -4$

Step 3: Substitute

x = -4

into equation (1) to solve for

y

Substitute $x = -4$ into equation (1): $-4 - y = 3$ Solve for $y$ : $-y = 3 + 4$ $-y = 7$ $y = -7$

The solution to the system of equations is: $\boxed{x = -4, \quad y = -7}$

Was this solution helpful?

Unhelpful

Helpful