Final answer:
To solve the given system of equations (x + y = 1.8, 3x + y = 1.4), the elimination method is used, resulting in the solution x = -0.2 and y = 2.0. The solution to the system is x = -0.2 and y = 2.0.
Step-by-step explanation:
The student is asking to solve a system of linear equations:
To solve the system, one approach would be to use the substitution or elimination method. Let's use the elimination method:
- Align the equations:
- x + y = 1.8 (Equation 1)
- 3x + y = 1.4 (Equation 2)
- Subtract Equation 1 from Equation 2:
- 3x + y - (x + y) = 1.4 - 1.8
- 2x = -0.4
- x = -0.2
- Substitute x into Equation 1 to find y:
- -0.2 + y = 1.8
- y = 2.0
The solution to the system is x = -0.2 and y = 2.0.