Answer: To solve for x, we need to find the value of x that makes both equations equal to each other. We can do this by setting the two equations equal to each other and solving for x:
3x + 2 = 4x - 5
Subtracting 4x from both sides:
-x - 2 = -5
Adding 2 to both sides:
-x = -3
Finally, dividing both sides by -1:
x = 3
So x = 3 is the solution that makes both y = 3x + 2 and y = 4x - 5 equal to each other.
You can substitute x = 3 into either equation to find the corresponding y value:
y = 3x + 2, when x = 3, y = 3(3) + 2 = 9 + 2 = 11
y = 4x - 5, when x = 3, y = 4(3) - 5 = 12 - 5 = 7
So the solution is (x, y) = (3, 11) or (3, 7).
Explanation: