3 years ago

A y = 3x + 2 By=-3x - 6 C y = 3x - 6 Dy=-3x + 2

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

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How do I use elimination for the equations-x+5y=20 and 12y= 2x+ 60?

Slav-nsk [51]

$\left\{\begin{array}{ccc}-x+5y=20\\12y=2x+60&\text{subtract 2x from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-x+5y=20\\-2x+12y=60&\text{divide both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+5y=20\\x-6y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-10\to\boxed{y=10}\\\\\text{Put the value of y to the second equation:}\\\\x-6(10)=-30\\x-60=-30\qquad\text{add 60 to both sides}\\\boxed{x=30}\\\\Answer:\ \boxed{x=30\ and\ y=10\to(30,\ 10)}$