Question

1. enter the x coordinate of the solution to this system of equations. \\(-10x + y = 20\\) \\(-4x + y = 2\\)

Explanation:

Step1: Subtract the two equations

We have the system:
$$-10x + y = 20$$
$$-4x + y = 2$$
Subtract the second equation from the first to eliminate \(y\):
$$(-10x + y) - (-4x + y) = 20 - 2$$
Simplify the left - hand side:
$$-10x + y + 4x - y=-6x$$
Simplify the right - hand side: \(20 - 2 = 18\)
So we get \(-6x=18\)

Step2: Solve for \(x\)

Divide both sides of the equation \(-6x = 18\) by \(-6\):
\(x=\frac{18}{-6}=- 3\)

Answer:

\(-3\)