Answer:To find the answer to the problem with the given equations:
y = -2x + 5
y = 4x - 7
We can solve the system of equations by setting the two equations equal to each other:
-2x + 5 = 4x - 7
To solve for x, we need to isolate the variable. Let's start by moving the terms with x to one side of the equation:
-2x - 4x = -7 - 5
-6x = -12
Next, we divide both sides of the equation by -6 to solve for x:
x = -12 / -6
x = 2
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:
y = -2(2) + 5
y = -4 + 5
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
Explanation: