Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do solve the following linear system?: $2 x = 4 y, 3 x + 2 y - 3 = 0$ $2x = 4y, 3x+ 2y - 3 = 0$ ?

1 Answer

Aug 9, 2018

$x = \frac{3}{4}$ $x=3/4$ and $y = \frac{3}{8}$ $y=3/8$

Explanation:

From first equation, $x = 2 y$ $x=2y$ .

Hence,

$3 \cdot 2 y + 2 y - 3 = 0$ $3*2y+2y-3=0$

$8 y = 3$ $8y=3$ , so $y = \frac{3}{8}$ $y=3/8$

Thus,

$x = 2 \cdot \frac{3}{8} = \frac{3}{4}$ $x=2*3/8=3/4$

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 $- x - 3 y = - 7$ $-x-3y=-7$ ?

See all questions in Systems Using Substitution

Impact of this question

1588 views around the world

You can reuse this answer
Creative Commons License