Question

What value does each equation need to be multiplied by in order to eliminate the y-terms? Equation 1: 6x − 5y = -4Equation 2: 4x + 2y = 28 Equation 1: Equation 2:

Answer 1

Solution:

Given the equations:

$\begin{gathered} 6x-5y=-4\text{ ---- equation 1} \\ 4x+2y=28\text{ --- equation 2} \end{gathered}$

To eliminate y, we have

$\begin{gathered} 2\times(6x-5y=-4)\Rightarrow12x-10y=-8\text{ --- equation 3} \\ 5\times(4x+2y=28)\Rightarrow20x+10y=140\text{ --- equation 4} \end{gathered}$

Hence, we have to multiply each equation by

$\begin{gathered} Equation\text{ 1: 2} \\ Equation\text{ 2: 5} \end{gathered}$