To solve this system of equations, we can first simplify the second equation:
(0.5x + 0.5y) * 102 = 91.Dividing by 102 on both sides0.5x + 0.5y = 0.8970588
Now we can use the first equation to express one variable in terms of the other. Let's solve for y:
27x + 277y = 85.277y = 85.8 - 27y = (85.8 - 27x) / 277
Now substitute this expression for y into the simplified second equation:
0.5x + 0.5 * (85.8 - 27x) / 277 = 0.8970580.5x + 0.429805 = 0.8970580.5x = 0.467253x = 0.9345076
Now substitute this value of x back into the expression for y to find its value:
y = (85.8 - 27 * 0.9345076) / 27y ≈ 0.1044221
Therefore, the solution to the system of equations is x ≈ 0.9345076 and y ≈ 0.1044221.
To solve this system of equations, we can first simplify the second equation:
(0.5x + 0.5y) * 102 = 91.
Dividing by 102 on both sides
0.5x + 0.5y = 0.8970588
Now we can use the first equation to express one variable in terms of the other. Let's solve for y:
27x + 277y = 85.
277y = 85.8 - 27
y = (85.8 - 27x) / 277
Now substitute this expression for y into the simplified second equation:
0.5x + 0.5 * (85.8 - 27x) / 277 = 0.897058
0.5x + 0.429805 = 0.897058
0.5x = 0.467253
x = 0.9345076
Now substitute this value of x back into the expression for y to find its value:
y = (85.8 - 27 * 0.9345076) / 27
y ≈ 0.1044221
Therefore, the solution to the system of equations is x ≈ 0.9345076 and y ≈ 0.1044221.