227,036 views
13 votes
13 votes
-3x+3y=4 -x+y=3 substitution

User Jantox
by
2.3k points

2 Answers

21 votes
21 votes

Answer:

no solution

Explanation:

User Vladimir Samsonov
by
2.9k points
18 votes
18 votes

Answer: No solution

Explanation:

-3x+3y=4

-x+y=3

We will rewrite the first equation and then substitute it into the second equation since we are solving by substitution.

Rewriting

-3x + 3y = 4

3y = 4 + 3x

y =
(4)/(3) + x

Substituting

-x + y = 3

-x + (
(4)/(3) + x) = 3

-x +
(4)/(3) + x = 3


(4)/(3) = 3

Hmmm, this doesn't look right, does it? This means there is no solution.

-> We can also see this when we graph the two equations, they never intersect.

-> I have attached the graph.

-3x+3y=4 -x+y=3 substitution-example-1
User Zem
by
3.3k points