How do you solve the following linear system: $x + y = 3, 3 x + y = 4$ $x+y=3, 3x + y = 4$ ?

Question

How do you solve the following linear system: $x + y = 3, 3 x + y = 4$ $x+y=3, 3x + y = 4$ ?

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

1089 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-25T05:00:16

$x = \frac{1}{2}$ $x=1/2$
$y = \frac{5}{2}$ $y=5/2$

Explanation:

Given -

$x + y = 3$ $x+y=3$
$3 x + y = 4$ $3x+y=4$

$x + y = 3$ $x+y=3$ -------------(1)
$3 x + y = 4$ $3x+y=4$ -------------(2) -----(1) $-$ $-$ (2)

$- 2 x = - 1$ $-2x=-1$
$x = \frac{- 1}{- 2} = \frac{1}{2}$ $x=(-1)/(-2)=1/2$

Substitute $x = \frac{1}{2}$ $x=1/2$ in equation (1)

$\frac{1}{2} + y = 3$ $1/2+y=3$
$y = 3 - \frac{1}{2} = \frac{6 - 1}{2} = \frac{5}{2}$ $y=3-1/2=(6-1)/2=5/2$

Science

Math

Humanities

... and beyond

How do you solve the following linear system: $x + y = 3, 3 x + y = 4$ $x+y=3, 3x + y = 4$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following linear system: x+y=3, 3x + y = 4 x+y=3,3x+y=4 x+y=3, 3x + y = 4 ?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following linear system: $x + y = 3, 3 x + y = 4$ $x+y=3, 3x + y = 4$ ?