Answer:
no solution
Step-by-step explanation:
Given
- 2(v - 2) = - 3 - 2v ← distribute left side
- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )
- 2v = - 7 - 2v ( add 2v to both sides )
0 = - 7 ← not possible
This indicates the equation has no solution
Scale factors of negative numbers are contractions
scale factors of numbers greater then 1 are expansions
scale factors of numbers greater then 0 but less then 1 are contractions
Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
