Question

solve using elimination.
4x - y = -2
5x - y = -1
(\boxed{ }, \boxed{ }))

Explanation:

Step1: Subtract the two equations

To eliminate \( y \), we subtract the first equation from the second equation. The first equation is \( 4x - y = -2 \) and the second is \( 5x - y = -1 \). Subtracting the first from the second: \((5x - y)-(4x - y)=-1-(-2)\)
Simplify the left side: \(5x - y - 4x + y=x\)
Simplify the right side: \(-1 + 2 = 1\)
So we get \(x = 1\)

Step2: Substitute \(x = 1\) into one equation

Let's substitute \(x = 1\) into the first equation \(4x - y=-2\). So we have \(4(1)-y=-2\)
Simplify: \(4 - y=-2\)
Subtract 4 from both sides: \(-y=-2 - 4=-6\)
Multiply both sides by -1: \(y = 6\)

Answer:

\((1, 6)\)