Answer: (5, 11)
Step-by-step explanation:
y = 2x + 1
x + y = 16
Substitute 2x + 1 for y in 'x + y = 16'
x + y = 16
x + (2x + 1) = 16
3x + 1 = 16
Subtract both sides by 1
3x = 15
Divide both sides by 3
x = 5
Now to find y
Since we know what x is, we can use one of the equations and substitute 5 for x. I'll use both to show that you get the same answer.
Second equation:
x + y = 16
5 + y = 16
Subtract both sides by 5
y = 11
First equation:
y = 2x + 1
y = 2(5) + 1
y = 10 + 1
y = 11
The solution would be (5, 11)
