Solve the system using any method.
x+y=4.9
5x+y=4.5
What is the solution of the system of equations? Select the correct choice and fill in any answer boxes in your choice below.
A.
enter your response here
(Simplify your answer. Type an ordered pair. Type an integer or a decimal.)
B.
There are infinitely many solutions.
C.
There is no solution.
To solve the system of equations, we can use the method of substitution.
First, we solve the first equation for y:
y = 4.9 - x
Now, substitute this expression for y in the second equation:
5x + (4.9 - x) = 4.5
Simplifying the equation:
5x + 4.9 - x = 4.5
4x + 4.9 = 4.5
4x = 4.5 - 4.9
4x = -0.4
x = -0.4/4
x = -0.1
Now substitute this value of x back into the first equation to solve for y:
y = 4.9 - (-0.1)
y = 5
Therefore, the solution to the system of equations is (-0.1, 5) or in decimal form, (-0.1, 5).
Answer: A. (-0.1, 5)