How do you solve the following linear system: $3 x - 6 y = 9, 6 y = 4 x + 15$ $3x - 6y = 9 , 6y = 4x + 15$ ?

Question

How do you solve the following linear system: $3 x - 6 y = 9, 6 y = 4 x + 15$ $3x - 6y = 9 , 6y = 4x + 15$ ?

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

1577 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-11T02:41:51

$x = - 24$ $x=-24$
$y = - \frac{27}{2}$ $y=-27/2$

Explanation:

$3 x - 6 y = 9$ $3x-6y=9$ --- (1)
$6 y = 4 x + 15$ $6y=4x+15$ --- (2)

From (1)
$3 x - 6 y = 9$ $3x-6y=9$
$x - 2 y = 3$ $x-2y=3$
$x = 2 y + 3$ $x=2y+3$ --- (3)

Sub (3) into (2)
$6 y = 4 (2 y + 3) + 15$ $6y=4(2y+3)+15$
$6 y = 8 y + 12 + 15$ $6y=8y+12+15$
$- 2 y = 27$ $-2y=27$
$y = - \frac{27}{2}$ $y=-27/2$ --- (4)

Sub (4) into (3)
$x = 2 (- \frac{27}{2}) + 3$ $x=2(-27/2)+3$
$x = - 27 + 3$ $x=-27+3$
$x = - 24$ $x=-24$

Science

Math

Humanities

... and beyond

How do you solve the following linear system: $3 x - 6 y = 9, 6 y = 4 x + 15$ $3x - 6y = 9 , 6y = 4x + 15$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following linear system: 3x−6y=9,6y=4x+153x - 6y = 9 , 6y = 4x + 15 ?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following linear system: $3 x - 6 y = 9, 6 y = 4 x + 15$ $3x - 6y = 9 , 6y = 4x + 15$ ?