Answer:
x = 1/3 and y = 1.
Step-by-step explanation:
To solve the simultaneous equations:
3x + 4y = 5 (Equation 1)
6x - y = 1 (Equation 2)
To eliminate one variable and solve for the other, we can multiply Equation 2 by 4 to make the coefficients of y the same in both equations.
4(6x - y) = 4(1)
24x - 4y = 4 (Equation 3)
Now we can add Equation 1 and Equation 3 together:
(3x + 4y) + (24x - 4y) = 5 + 4
27x = 9
x = 9/27
x = 1/3
Substituting x = 1/3 into Equation 2:
6(1/3) - y = 1
2 - y = 1
-y = 1 - 2
-y = -1
y = 1
Therefore, the solution to the simultaneous equations is x = 1/3 and y = 1 (mark me as brilliant)
