Answer:
3x + 5y = 5
Multiply by 2 on both sides.
-2x - 8y = -6
Multiply by 3 on both sides.
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases} \;\;\:3x + 5y = 5\\-2x-8y = 6\end{cases}[/tex]
To eliminate the x-terms in the given system of equations:
3x + 5y = 5 → Multiply by 2 on both sides:
[tex]\implies 2(3x+5y)=2(5)[/tex]
[tex]\implies 6x+10y=10[/tex]
-2x - 8y = 6 → Multiply by 3 on both sides:
[tex]\implies 3(-2x - 8y) = 3(6)[/tex]
[tex]\implies -6x - 24y = 18[/tex]
Add them together to eliminate x:
[tex]\begin{array}{crcccc}&6x&+&10y&=&10\\+&(-6x&-&24y&=&18\\\cline{2-6} &&-&14y&=&28\end{array}[/tex]
