To find the solution to the system of equations y = 16x -7 and y = 21x + 8, we can set the two equations equal to each other:
16x - 7 = 21x + 8
To solve for x, we need to isolate it on one side of the equation. Let's start by moving the terms with x to one side:
16x - 21x = 8 + 7
Simplifying the expression, we get:
-5x = 15
Now, divide both sides of the equation by -5:
(-5x) / -5 = 15 / -5
This simplifies to:
x = -3
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
y = 16(-3) - 7
Simplifying the expression, we get:
y = -48 - 7 y = -55
Therefore, the solution to the system of equations is x = -3 and y = -55.
Note: Please double-check your equations and calculations as there might be a mistake.
