Does the system have a no solution or infinitely many solutions Y=2/3x+2-2x+3y=6

Mathematics

2 answers:

oee [108]3 years ago

8 0

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

KatRina [158]3 years ago

4 0

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal: y=2/3x+2 -2x+3y=6

y=2/3x+2 Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

You might be interested in

To factor 8x^2 + bx + 3, a student correctly rewrites the trinomial 8x^2 + px + qx + 3. What is the value of pq?

sergeinik [125]

Try this option:
1. if 8*x²+b*x+3=8*x²+p*x+q*x+3, then ⇒ b=p+q.
2. p*q = max_value (b²/2), if p=q=0.5*b, and p*q→-oo, if p>0 and q<0 or p>0 q<0.
3. example:
given 8x²+10x+3, the student rewrites it as a) 8x²+5x+5x+3 (5*5=25-max value); b) 8x²+0.01x+9.99x+3 (9.99*0.01=0.0999→0); c) 8x²-20x+30x+3 (p*q=-600).

answer: (-oo;0.5b²)

8 0

4 years ago

The science fair judges will be teachers and volunteers. Each judge will view 5 projects. There are 133 science teachers. What i

Ede4ka [16]

The answer is eighty because you have to divide five into 133

3 0

4 years ago

The sales tax on a piece of furniture that cost $450 was 28.13 . what was the percent sales tax?

inysia [295]

28.13÷450= .0625111

.0625111×100= 6.25111%

4 0

4 years ago