Question

1. ana is solving the following system of equations using elimination by addition.

$4x + 2y = 14$
$-4x + 6y = 42$
what is the new equation after eliminating the x - terms?

Explanation:

Step1: Identify the equations

We have two equations: \(4x + 2y = 14\) and \(-4x + 6y = 42\).

Step2: Eliminate x - terms

To eliminate the \(x\) - terms, we add the two equations together.
When we add \(4x+2y = 14\) and \(-4x + 6y=42\), we get:
\((4x-4x)+(2y + 6y)=14 + 42\)

Step3: Simplify the equation

Simplifying the left - hand side and the right - hand side:
\(0x+8y = 56\), which simplifies to \(8y=56\)

Answer:

The new equation after eliminating the \(x\) - terms is \(8y = 56\)