How do you solve the system $3 y = x - 1$ $3y=x-1$ and $x - 2 y = 2$ $x-2y=2$ ?

Question

How do you solve the system $3 y = x - 1$ $3y=x-1$ and $x - 2 y = 2$ $x-2y=2$ ?

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

1657 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-24T12:51:59

In one of the equations you "translate" one into the other, then fill that in in the second equation.

$3 x = x - 1 \to x = 3 y + 1$ $3x=x-1->x=3y+1$

$x - 2 y = 2 \to (3 y + 1) - 2 y = 2 \to y = 1$ $x-2y=2->(3y+1)-2y=2->y=1$

$x = 3 y + 1 = 3 \cdot 1 + 1 = 4$ $x=3y+1=3*1+1=4$

Check!
$3 y = x - 1 \to 3 \cdot 1 = 4 - 1 \to 3 = 3$ $3y=x-1->3*1=4-1->3=3$ check
$x - 2 y = 2 \to 4 - 2 \cdot 1 = 2 \to 2 = 2$ $x-2y=2->4-2*1=2->2=2$ check

Science

Math

Humanities

... and beyond

How do you solve the system $3 y = x - 1$ $3y=x-1$ and $x - 2 y = 2$ $x-2y=2$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the system 3y=x−13y=x-1 and x−2y=2x-2y=2?

1 Answer

Related questions

Impact of this question

How do you solve the system $3 y = x - 1$ $3y=x-1$ and $x - 2 y = 2$ $x-2y=2$ ?