Question

Solve: 5y – 3x = -16; x – 3y = 8​

Answer 1

Answer:

5x–3y=-16 —(i)

x–3y= 8 —(ii)

-__+___-________

4x = 8

=> x = 8/4

=> x = 2

Sub. the value of x in eq. i

5x – 3y = -16

=>5×2 – 3y = -16

=> 10 – 3y = 16

=> –3y = 16 - 10

=> y = 6/-3

=> y = -2

Answer 2

$\bigstar\large{\pmb{\sf AnswER }}$

I think you wanted to ask

solve:- $:\implies \sf 5x-3y = -16; x - 3y = 8$

Now, we have to find the values of x and y. We are going to use the elimination method.

$:\implies \sf 5x-3y = -16---(1)\\:\implies x - 3y = 8---(2)$

Let's subtract them

$:\implies\sf 5x-3y-(x-3y)=-16+8\\:\implies\sf 5x-3y-x+3y=-8\\:\implies\sf x = \dfrac{-8}{4} =\red{-2}$

putting the value of x in eq 1

• 5(-2)-3y = -16
• -10-3y = -16
• 3y = -6
• y = -2