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Ilia_Sergeevich [38]
3 years ago
13

the sum of 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
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

3 and - 4

Step-by-step explanation:

Let

The first number be "x", and

The second number be "y"

The sum of the 2 numbers is -1, so we can write:

x + y = -1

or

x = -1 - y

Twice the first and 4 times second SUMMED, gives us -10, so we can write:

2x + 4y = -10

Now, we put 1st equation in 2nd and find y first:

2x + 4y = -10\\2(-1-y) + 4y = -10\\-2-2y+4y=-10\\2y=-10+2\\2y=-8\\y=-4

Now, finding x:

x = -1 - y

x = -1 -(-4)

x = -1 + 4

x = 3

So, the two number are:

3 and - 4

saul85 [17]3 years ago
6 0

Answer:

The number are: x=3 and y=-4

Step-by-step explanation:

Let us consider the numbers be x and y.

As the sum of two numbers is -1.

So,

x + y = -1

and

Twice the first number and four times the second number are added the sum is -10.

So,

2x + 4y = -10

Solving

x + y = -1

2x + 4y = -10

\begin{bmatrix}x+y=-1\\ 2x+4y=-10\end{bmatrix}

\mathrm{Subsititute\:}x=-1-y

\begin{bmatrix}2\left(-1-y\right)+4y=-10\end{bmatrix}

-2-2y+4y=-10

2y=-8

y=-4

\mathrm{Subsititute\:}y=-4

x=-1-(-4)

x=3

Therefore, the number are: x=3 and y=-4

Verification:

As x=3 and y=-4

So,

x + y = -1

3 + (-4) = -1

-1=-1

Also

2x + 4y = -10

2(3) + 4(-4)= -10

6-16=-10

-10=-10

Keywords: number, equation

Learn more number and equation from brainly.com/question/11406405

#learnwithBrainly

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