Solve the system using any method.
What is the solution of the system of equations?
(Simplify your answer. Type an ordered pair. Type an integer or a decimal.)
The system of equations is not provided. Please provide the system of equations so that I can help you solve it.
x + y = 2.9
3x + y = 2.7
To solve the system of equations:
x + y = 2.9 ----(1)
3x + y = 2.7 ----(2)
We can use substitution or elimination method.
Let's solve using the elimination method. We will eliminate the variable 'y':
Multiply equation (1) by -1 and equation (2) by 1:
-1(x + y) = -1(2.9)
1(3x + y) = 1(2.7)
Simplifying:
-x - y = -2.9 ----(3)
3x + y = 2.7 ----(4)
Add equations (3) and (4) to eliminate the y variable:
(-x - y) + (3x + y) = (-2.9) + (2.7)
Simplifying:
2x = -0.2
Divide both sides by 2:
x = -0.2/2
x = -0.1
Substitute the value of x into equation (1) or (2) to solve for y:
x + y = 2.9
Substituting x = -0.1:
-0.1 + y = 2.9
Adding 0.1 to both sides:
y = 3
Therefore, the solution to the system of equations is (x, y) = (-0.1, 3).
Therefore, the solution to the system of equations is (-0.1, 3).