How do you solve the following system?: $x + y = 23, x + 12 y = - 2$ $x +y =23 , x +12y = -2$

Question

How do you solve the following system?: $x + y = 23, x + 12 y = - 2$ $x +y =23 , x +12y = -2$

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

1348 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-09T09:27:53

$x = \frac{278}{11}$ $x=278/11$
$y = - \frac{25}{11}$ $y=-25/11$

Explanation:

Given -

$x + y = 23$ $x+y=23$ -----------------(1)
$x + 12 y = - 2$ $x+12y=-2$ ---------------(2) ------------ $(1) - (2)$ $(1) -(2)$
$- 11 y = 25$ $-11y=25$

$y = - \frac{25}{11}$ $y=-25/11$

Substitute $y = - \frac{25}{11}$ $y=-25/11$ in equation (1)

$x - \frac{25}{11} = 23$ $x-25/11=23$
$x = 23 + \frac{25}{11} = \frac{253 + 25}{11} = \frac{278}{11}$ $x=23+25/11=(253+25)/11=278/11$

$x = \frac{278}{11}$ $x=278/11$

Science

Math

Humanities

... and beyond

How do you solve the following system?: $x + y = 23, x + 12 y = - 2$ $x +y =23 , x +12y = -2$

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following system?: x+y=23,x+12y=−2 x +y =23 , x +12y = -2

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following system?: $x + y = 23, x + 12 y = - 2$ $x +y =23 , x +12y = -2$