Question

Substitute 3f-4y=1
6f-4y=5

Answer 1

To solve the system of equations, we can use the method of substitution.

From the first equation, we can isolate f by adding 4y to both sides:
3f - 4y = 1
3f = 4y + 1
f = (4y + 1)/3

Now, we substitute this expression for f into the second equation:
6f - 4y = 5
6((4y + 1)/3) - 4y = 5
2(4y + 1) - 4y = 5
8y + 2 - 4y = 5
4y + 2 = 5
4y = 5 - 2
4y = 3
y = 3/4

Now that we have the value of y, we can substitute it back into the first equation to find f:
f = (4(3/4) + 1)/3
f = (3 + 1)/3
f = 4/3

Therefore, the solution to the system of equations is f = 4/3 and y = 3/4.