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no solution, one solution, or infinitely many solutions?

No Solution One Solution Or Infinitely Many Solutions class=
No Solution One Solution Or Infinitely Many Solutions class=
No Solution One Solution Or Infinitely Many Solutions class=
No Solution One Solution Or Infinitely Many Solutions class=

Sagot :

Batolisisidn

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

When does an equation have one solution, no solution or infinitely many solutions?

A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.

A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term

A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.

Analysis:

8v + 3 -4v = 4v + 5-2

4v +3 = 4v+3

The equation has an infinitely many solutions

7v-11 = 7v+11

7v-7v = 11+11

0v = 22

The equation has no solution since the coefficient of the variable term is 0

3(v-4) = 2(v-6)

3v -12 = 2v - 12

v = 12-12 = 0

The equation has one solution

5(2v+3) -2 = 12v + 12-2v

10v+15-2 = 10v +12

0v = -1

The equation has no solution.

In conclusion,

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

Learn more about equations with infinitely many solutions: brainly.com/question/11695252

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