Question

If 3x_y=23 and 2x+5y=y find the value of y

Answer 1

To find the value of y, we can use the given equations and solve for y.

From the first equation:
3x - y = 23 (I rearranged the equation by moving y to the other side)

From the second equation:
2x + 5y = y (Given)

To solve for y, we can substitute the value of y in the second equation using the first equation:
2x + 5(3x - 23) = 3x
2x + 15x - 115 = 3x
17x - 115 = 3x

Now, isolate the variable x:
17x - 115 = 3x
17x - 3x = 115
14x = 115
x = 115/14
x ≈ 8.21

Now substitute the value of x back into the first equation to solve for y:
3(8.21) - y = 23
24.63 - y = 23
-y = 23 - 24.63
-y = -1.63
y = 1.63

Therefore, the value of y is approximately 1.63.