What values of a and b would make the equation shown have infinitely many solutions? 3x=ax+b

1 answer:

7 0

Infinitely many solutions means that you have the same thing on both sides of the equation no matter what value of x you plug in, right?

We just need both sides to be 3x then, correct?

If a were equal to 3 and b were equal to 0, we'd have

3x = (3)x + 0

Which is essentially 3x = 3x

So that means a = 3 and b = 0 must work!
Let's say x = 5

3(5) = 3(5) + 0

15 = 15 + 0

15 = 15

That means that a = 3 and b = 0 is your final answer :)

You might be interested in

Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far di

kari74 [83]

She walked 4.5 miles. just multiply the miles she walked Tuesday by 1.2.

5 0

2 years ago

Jeff is 6 years older than Sam. In four years he will be twice as old as Sam was 5 years ago. Find both their ages now... can u

kompoz [17]

I think he will be 10 year old

6 0

2 years ago

An angle is equal to one-third of its complement. Find the angle's measure.

artcher [175]

Let $x^\circ$ be the measure of the angle in question. Its complement has measure $(90-x)^\circ$ . We're told that this angle is congruent to 1/3 of its complement, so that