Example output
Okay, let's start solving the system of equations you gave:
Step 1: Rearrange the first equation to express y in terms of x:
3x + 4 = y (Original equation)
y = 3x + 4 (Subtract 3x from both sides)
Step 2: Substitute the expression for y in the second equation:
2y - 5x = 10 (Original equation)
2(3x + 4) - 5x = 10 (Substitute y with 3x + 4)
6x + 8 - 5x = 10 (Distribute the 2)
x + 8 = 10 (Combine like terms)
x = 2 (Subtract 8 from both sides)
Step 3: Substitute the value of x in one of the original equations and solve for y:
3x + 4 = y (Original equation)
3(2) + 4 = y (Substitute x with 2)
y = 10 (Simplify)
Therefore, the solution to the system of equations is:
x = 2
y = 10
I hope this helps! Let me know if you have any questions.