2x+3y=12 find four solutions

Mathematics

1 answer:

Nana76 [90]3 years ago

7 0

Answer:

y = 0 and x = 6

y = 2 and x = 3

y = 4 and x = 0

y = 6 and x = -3

Step-by-step explanation:

2x+3y=12 is the equation of a straight line.

There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.

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Multiply the two mixed numbers 4 1/2 x 3 2/3 simplify your answer and write it as a mixed number

konstantin123 [22]

Answer: 16 1/2

Step-by-step explanation:

It's easiest to multiply improper fractions and then to convert them back into mixed numbers, so 4 1/2 would become 9/2 and 3 2/3 would become 11/3. $\frac{9}{2} *\frac{11}{3}$ = 99/6. Now just simplify to 33/2 and then convert back into a mixed number. 16 1/2