How do you solve the following system: $- 6 x - 2 y = - 14, 4 x - y = 6$ $-6x-2y=-14, 4x-y=6$ ?

Question

How do you solve the following system: $- 6 x - 2 y = - 14, 4 x - y = 6$ $-6x-2y=-14, 4x-y=6$ ?

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

1368 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-17T09:09:06

$y = \frac{10}{7}$ $y=10/7$
$x = \frac{13}{7}$ $x=13/7$

Explanation:

$- 6 x - 2 y = - 14$ $-6x-2y=-14$ --- (1)
$4 x - y = 6$ $4x-y=6$ --- (2)

From (2),
$4 x - y = 6$ $4x-y=6$
$y = 4 x - 6$ $y=4x-6$ --- (3)

Sub (3) into (1)
$- 6 x - 2 y = - 14$ $-6x-2y=-14$
$- 3 x - y = - 7$ $-3x-y=-7$
$- (3 x + y) = - 7$ $-(3x+y)=-7$
$3 x + y = 7$ $3x+y=7$
$3 x + 4 x - 6 = 7$ $3x+4x-6=7$
$7 x - 6 = 7$ $7x-6=7$
$7 x = 13$ $7x=13$
$x = \frac{13}{7}$ $x=13/7$ --- (4)

Sub (4) into (3)
$y = 4 \cdot \frac{13}{7} - 6$ $y=4*13/7-6$
$y = \frac{10}{7}$ $y=10/7$

Science

Math

Humanities

... and beyond

How do you solve the following system: $- 6 x - 2 y = - 14, 4 x - y = 6$ $-6x-2y=-14, 4x-y=6$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following system: −6x−2y=−14,4x−y=6-6x-2y=-14, 4x-y=6 ?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following system: $- 6 x - 2 y = - 14, 4 x - y = 6$ $-6x-2y=-14, 4x-y=6$ ?