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Solve the given system of equations.

4x-5y=10
-x-8=3y

User Mily
by
8.2k points

2 Answers

2 votes

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


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


- 17y = 42 \\ y = ( - 42)/(17)

When


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


x = - 8 - 3 ( - 42)/(17 ) \\ x = - 8 + (42)/(17) \\ x = ( - 10)/(17)

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

User Vladislav Martin
by
8.2k points
6 votes

Answer:

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

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=(-42)/(17)

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


x=-8-3((-42)/(17))=-8+(126)/(17) =-(10)/(17)

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

User Sanatsathyan
by
8.9k points

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