Question

How do you solve 2x+y=5 and x-y=1 by substitution

Answer 1

Let's start with finding what y equals. So for the second equation, add y to both sides. Now plug in for x, y+1. 

2(y+1) + y = 5. 

2y+2+y = 5

3y + 2 = 5

subtract 2 from both sides.

3y = 3.

Divide both sides by 3. 

y = 1. 

Now plug in 1 for y. 

x - 1 =1 (that's the second equation, x - y = 1)

x = 2. 

So the answer is (2, 1). 


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-Belle