Answer:
To substitute the equation for y in the second equation, we need to solve for y in the first equation and then substitute that expression for y in the second equation.
Starting with the first equation:
-24x + 6y = 12
We can isolate y by adding 24x to both sides:
6y = 24x + 12
Then, we can divide both sides by 6 to solve for y:
y = 4x + 2
Now that we have an expression for y in terms of x, we can substitute it into the second equation:
4x + 7y = 13
4x + 7(4x + 2) = 13
Simplifying and solving for x:
4x + 28x + 14 = 13
32x = -1
x = -1/32
Finally, we can substitute x back into either equation to solve for y:
-24(-1/32) + 6y = 12
3/4 + 6y = 12
6y = 11 1/4
y = 1 7/8
Therefore, the solution to the system of equations is (x,y) = (-1/32, 1 7/8).
Explanation: