How do solve the following linear system?: $x - 2 y = 8, 4 x = - 11 + y$ $x-2y=8 , 4x=-11+y$ ?

Question

How do solve the following linear system?: $x - 2 y = 8, 4 x = - 11 + y$ $x-2y=8 , 4x=-11+y$ ?

1 Answer

Related questions

How do you solve systems of equations using the substitution method?
How do you check your solutions to a systems of equations using the substitution method?
When is the substitution method easier to use?
How do you know if a solution is "no solution" or "infinite" when using the substitution method?
How do you solve $y = - 6 x - 3$ $y=-6x-3$ and $y = 3$ $y=3$ using the substitution method?
How do you solve $12 y - 3 x = - 1$ $12y-3x=-1$ and $x - 4 y = 1$ $x-4y=1$ using the substitution method?
Which method do you use to solve the system of equations $y = \frac{1}{4} x - 14$ $y=1/4x-14$ and $y = \frac{19}{8} x + 7$ $y=19/8x+7$ ?
What are the 2 numbers if the sum is 70 and they differ by 11?
How do you solve $x + y = 5$ $x+y=5$ and $3 x + y = 15$ $3x+y=15$ using the substitution method?
What is the point of intersection of the lines $x + 2 y = 4$ $x+2y=4$ and $- x - 3 y = - 7$ $-x-3y=-7$ ?

Impact of this question

1389 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-03T19:48:39

I found:
$x = - \frac{30}{7}$ $x=-30/7$
$y = - \frac{43}{7}$ $y=-43/7$

Explanation:

We can isolate $x$ $x$ from the first equation and substitute into the second to find $y$ $y$ :
$x = 8 + 2 y$ $x=8+2y$
So:
$4 (8 + 2 y) = - 11 + y$ $4(8+2y)=-11+y$
$32 + 8 y = - 11 + y$ $32+8y=-11+y$
$7 y = - 43$ $7y=-43$
$y = - \frac{43}{7}$ $y=-43/7$
We use this value back into the first equation:
$x = 8 + 2 (- \frac{43}{7}) = \frac{56 - 86}{7} = - \frac{30}{7}$ $x=8+2(-43/7)=(56-86)/7=-30/7$

Science

Math

Humanities

... and beyond

How do solve the following linear system?: $x - 2 y = 8, 4 x = - 11 + y$ $x-2y=8 , 4x=-11+y$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do solve the following linear system?: x−2y=8,4x=−11+y x-2y=8 , 4x=-11+y ?

1 Answer

Explanation:

Related questions

Impact of this question

How do solve the following linear system?: $x - 2 y = 8, 4 x = - 11 + y$ $x-2y=8 , 4x=-11+y$ ?