399,626 views
18 votes
18 votes
There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

User Cosma Colanicchia
by
2.7k points

2 Answers

12 votes
12 votes

Answer:

X=-5,Y=1

Explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

User Rin Malavi
by
2.8k points
8 votes
8 votes

Answer:

the two numbers are -5 and 1

Explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

User Fkreusch
by
2.5k points
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