Question

The sum of the two numbers is -1. When twice the first number and four times the second number are added, the sum is -10. What are the two numbers?

Answer 1

The two number are 3 and -4.

Step-by-step explanation:

Let,

The two numbers are x and y.

According to given statement;

x+y=-1       Eqn 1

2x+4y=-10   Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=-1)\\2x+2y=-2\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(2x+4y)-(2x+2y)=-10-(-2)\\2x+4y-2x-2y=-10+2\\2y=-8$

Dividing both sides by 2

$\frac{2y}{2}=\frac{-8}{2}\\y=-4$

Putting y=-4 in Eqn 1

$x+(-4)=-1\\x-4=-1\\x=-1+4\\x=3$

The two number are 3 and -4.

Keywords: linear equation, elimination method

Learn more about elimination method at:

• brainly.com/question/2821386
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