Final answer:
The system of equations 5x + 60y = 35 and x + y = 1.5 is solved using the substitution method to find that x = 1 and y = 0.5.
Step-by-step explanation:
The question presents a system of linear equations: 5x + 60y = 35 and x + y = 1.5. To solve this system, we can use the substitution or elimination method. Here's how one might solve it using the substitution method:
- From the second equation, isolate one variable, e.g., x = 1.5 - y.
- Substitute x in the first equation with the value from step 1: 5(1.5 - y) + 60y = 35.
- Simplify the equation: 7.5 - 5y + 60y = 35.
- Combine like terms: 55y = 27.5.
- Divide both sides by 55 to find the value of y: y = 0.5.
- Substitute the value of y back into x = 1.5 - y to find the value of x: x = 1.5 - 0.5 = 1.
The solution to the system of equations is x = 1 and y = 0.5.