6. Solve the system of equations to find the value of x(+)y. Show all work. points) 5x+7y=1 x=-2y+2

Question

Answer 1

## Step 1: Substitute

### The second equation gives

in terms of

. Substitute this expression for

into the first equation. This gives

.## Step 2: Simplify and solve for

### Distribute the 5:

. Combine like terms:

. Subtract 10 from both sides:

. Divide by -3:

.## Step 3: Solve for

### Substitute

back into either of the original equations. Using the second equation,

.## Step 4: Calculate

### We have

and

. Therefore,

.

Question