Answer:
x = 10
y = -1
Step-by-step explanation:
System of equations
x - y = 11
2x + y = 19
What is x and y?
To solve this, we need to find a way we can substitute one equation into another. Let's try the first equation.
x - y = 11
Add y to both sides :
x = 11 + y
Now substitute x from the first equation into x in the second equation :
2(11 + y) + y = 19
Distribute :
22 + 2y + y = 19
Add like terms :
22 + 3y = 19
Get y alone :
Subtract 22 from both sides :
3y = -3
Divide 3 from both sides :
y = -1
Now that we have y, let's substitute it into the easier equation, which would be the first one.
x - (-1) = 11
x + 1 = 11
Subtract 1 from both sides :
x = 10
