Answer:
( 3 , 2 )
Step-by-step explanation:
To solve the given system of equations, we first convert them into the standard form Ax + By = C and then find the values of x and y.
Given equations:
1. y = 2x - 4
2.y = 5x - 13
Converting to Ax + By = C form, we have:
1. 2x - y = 4
2. 5x - y = 13
Now, let's solve this system of equations.
Subtract the second equation from the first:
2x - y - (5x - y) = 4 - 13
2x - 5x = -9
-3x = -9
x = 3
Now, plug the value of \(x\) back into one of the original equations to find y. Using y = 2x - 4:
y = 2(3) - 4
y = 6 - 4
y = 2
