Solve by adding or subtracting.
x+y=-10
2x-y=-8

Step-by-step explanation:

To solve, isolate your first equation for y.

Now, plug in this y value to your second equation.

Now, plug your x value into your first equation and solve for y.

(-6,-4)

Step-by-step explanation:

I'm going to solve this system by elimination. You can only do this when both equations have the same form; here it is ax+by=c. What that means is a variable gets eliminated after adding or subtracting the equations.

This elimination can be applied to this system by adding the equations. This will elimination the y part because they are opposites.

x+y=-10

2x-y=-8

-‐ Adding.

3x+0=-18

3x=-18

Divide both sides by 3:

x=-18/3

x=-6

Using one of the equations we started with along with x=-6, we can find y.

x+y=-10 with x=-6

-6+y=-10

Add 6 on both sides:

y=-4

The solution is (x,y)=(-6 -4).

the line of

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.