To use addition to solve this system, we need to eliminate one of the variables by adding the two equations together. Let's add the first equation to the second equation, but first we'll rewrite the first equation as {x = y+4}:
{y+4 + {x+2y = 4
Now we can combine like terms to get:
2y + (y+4) = 4
Simplifying on the left side, we get:
3y + 4 = 4
Subtracting 4 from both sides, we get:
3y = 0
Dividing by 3, we get:
y = 0
Now that we know y = 0, we can use either equation to solve for x. Let's use the equation we rewrote earlier:
x = y+4
x = 0+4
x = 4
Therefore, the solution to the system of equations is {x=4, y=0}.
Use addition to solve the linear system of equations. Include all of your work in your final answer.
{x-y=4
{x+2y=4
1 answer