(3,1)
x=3; y=1
Step-by-step explanation:
Algebraic
Answer:
a
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Answer:
The solution to the system of equations is:
The graph is attached below.
Step-by-step explanation:
Given the system of equations


Let us solve the system of equations using the elimination method

Arrange equation variables for elimination

Multiply y + 2x = 5 by 2: 2y + 4x = 10

subtracting the equations




solve 6x = 18 for x

Divide both sides by 6

simplify

For 2y - 2x = -8 plug in x = 3


Add 6 to both sides

Simplify

Divide both sides by 2

Simplify

Therefore, the solution to the system of equations is:
The graph is attached below.
Answer:
(f+g)(x) = x² - x + 6
Step-by-step explanation:
We can find (f+g)(x) by adding f(x) and g(x).
f(x) = x² + 1
g(x) = 5 - x
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (x² + 1) + (5 - x)
(f+g)(x) = x² + 1 + 5 - x
(f+g)(x) = x² - x + 6
= it is equal to because the absolute value of |-5| is 5