Question

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Answer 1

Answer:

$(-7,-2)$

Step-by-step explanation:

$-4x+6y=16\\x-5y=3$

Add 5y to each side

$x=5y+3$

Plug into first equation

$-4(5y+3)+6y=16$

Simplify

$-20y-12+6y=16$

$-14y=28$

$y=-2$

Plug back into original equation

$x-5(-2)=3$

$x-(-10)=3$

$x+10=3$

$x=-7$

Final Answer: $(-7,-2)$

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Answer 2

Answer: (-7,-2) $x=-7, y=-2$

Step-by-step explanation:

Since we are not given equations we can easily substitute(where one equation only has one term before or after the equals sign), we must manipulate the second expression so we can substitute for x and get y.

Solving:

Given: $-4x+6y=16$, $x-5y=3$

Manipulate 2nd equation to get x in terms of y and constant:

$x-5y=3$

   $+5y$    $+5y$

$x=5y+3$

Now plug it into the first equation:

$-4x+6y=16$

$-4(5y+3)+6y = 16$

$-20y-12+6y=16$

$-14y-12=16$

$-14y=28$

 ----     ----

 $-14$    $-14$

$y=-2$

Now plug it into substitution equation to get x:

$x=5y+3$

$x=5(-2)+3$

$x=-7$

That's it!