How do you solve the following linear system: $2 x - 3 y = 4, 6 y = 4 x + 15$ $2x - 3y = 4 , 6y = 4x + 15$ ?

Question

How do you solve the following linear system: $2 x - 3 y = 4, 6 y = 4 x + 15$ $2x - 3y = 4 , 6y = 4x + 15$ ?

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

1363 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-17T11:18:08

The given pair of equations have no common solution.

Explanation:

Given
[1] $XXX 2 x - 3 y = 4$ $color(white)("XXX")2x-3y=4$
[2] $XXX 6 y = 4 x + 15$ $color(white)("XXX")6y=4x+15$

Convert [2] into standard form ( $A x + B y = C$ $Ax+By=C$ )
[3] $XXX 4 x - 6 y = - 15$ $color(white)("XXX")4x-6y=-15$

Notice that the Left Side of [3] is exactly $2$ $2$ times the Right Side of [1] (but the Right Side is not twice the Right Side of [1])
$\Rightarrow$ $rArr$ these equations represent parallel lines with no point(s) of intersection (i.e. no solution points)

Science

Math

Humanities

... and beyond

How do you solve the following linear system: $2 x - 3 y = 4, 6 y = 4 x + 15$ $2x - 3y = 4 , 6y = 4x + 15$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following linear system: 2x−3y=4,6y=4x+152x - 3y = 4 , 6y = 4x + 15 ?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following linear system: $2 x - 3 y = 4, 6 y = 4 x + 15$ $2x - 3y = 4 , 6y = 4x + 15$ ?