Answer: x= Tea, y = Coffee
x=0.5 and y=0.25.
Explanation:
To solve this system of linear equations:
Step 1: Rearrange equation (1) to solve for y in terms of x:
5x+5y=3.75
5y=3.75-5x
y=(3.75-5x)/5
Step 2: Substitute the expression for y from step 1 into equation (2):
2x+3y=1.75
2x+3[(3.75-5x)/5]=1.75
Step 3: Simplify and solve for x:
2x+(11.25-15x)/5=1.75
10x+11.25-15x=8.75
-5x=-2.5
x=0.5
Step 4: Substitute the value of x from step 3 into equation (1) and solve for y:
5x+5y=3.75
5(0.5)+5y=3.75
2.5+5y=3.75
5y=1.25
y=0.25
Therefore, the solution to the system of equations is x=0.5 and y=0.25.