Question

what variable do you eliminate?
4x + 8y = 20
-4x + 2y = -30
x because they have opposite signs
y because they have opposite

Explanation:

Step1: Analyze coefficients of x

In the equations \(4x + 8y = 20\) and \(-4x + 2y = -30\), the coefficients of \(x\) are \(4\) and \(-4\), which are opposites (same magnitude, opposite signs).

Step2: Determine elimination variable

When adding the two equations, terms with opposite coefficients will cancel out. Since the coefficients of \(x\) are opposites, adding the equations will eliminate \(x\). The coefficients of \(y\) are \(8\) and \(2\) (same sign, not opposites), so \(y\) won't be eliminated this way.

Answer:

X because they have opposite signs