Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

Multiplying eqn no. two with 4 we add it up with eqn 1.

$4x - 5y = 10 \\ - 4x - 12y = 32$

$- 17y = 42 \\ y = \frac{ - 42}{17}$

When

$- x - 8 = 3y \\ x + 3y = - 8$

$x = - 8 - 3 \frac{ - 42}{17 } \\ x = - 8 + \frac{42}{17} \\ x = \frac{ - 10}{17}$

So, x = - 10/17 and y = - 42/17.

Answer 2

Answer:

the value of x= -10/17 and y= -42/17

Step-by-step explanation:

$4x-5y=10$

$-x-8=3y$

Use substitution method, solve the second equation for x

$-x-8=3y$

Add 8 on both sides

$-x=8+3y$, divide both sides by -1

$x=-8-3y$, now plug it in first equation

$4(-8-3y)-5y=10$

$-32-12y-5y=10$,combine like terms

$-32-17y=10$

Add 32 on both sides

$-17y= 42$

Divide by -17 on both sides

$y=\frac{-42}{17}$

Now plug in y in x =-8-3y and find out y

$x=-8-3(\frac{-42}{17})=-8+\frac{126}{17} =-\frac{10}{17}$

the value of x= -10/17 and y= -42/17