Solve the system using any method.
x+y = 1.8 5x + y = 1
What is the solution of the system of equations? Select the correct choice and fill in any answer boxes in your choice below.
A.
(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.
From the first equation, we can isolate y:
y = 1.8 - x
Substituting this expression for y into the second equation:
5x + (1.8 - x) = 1
5x + 1.8 - x = 1
4x + 1.8 = 1
4x = 1 - 1.8
4x = -0.8
x = -0.2
Substituting this value of x back into the first equation:
-0.2 + y = 1.8
y = 1.8 + 0.2
y = 2
Therefore, the solution to the system of equations is (-0.2, 2).
The correct choice is A.