Final answer:
To solve the system of equations 6x/5+y/15=2.3x/10-2y/3=1.2, use the method of substitution. Simplify and solve the equations to find the values of x and y.
Step-by-step explanation:
To solve the system of equations: 6x/5 + y/15 = 2.3x/10 - 2y/3 = 1.2, we will use the method of substitution. First, simplify the equations by dividing both sides of the first equation by 3 and both sides of the second equation by 6, resulting in: 2x/5 + y/15 = x/10 - y/3 = 1.2. Next, solve the first equation for x and substitute it into the second equation. This will give you a new equation with only one variable, y. Solve for y and then substitute the value of y back into the first equation to find the value of x. The solution to the system of equations is x = 7.5 and y = -1.5.