Question

Solve for x and y

x-y=11

2x+y=19

Answer 1

x = 10

y = -1

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

Answer 2

X=10 y=-1
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