Question

Four times a number minus twice another number is -16 the sum of the two numbers is -1 find the numbers

Answer 1

The numbers are -3 and 2

Step-by-step explanation:

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

then according to given statements the linear equations will be:

"Four times a number minus twice another number is -16"

$4x-2y = -16\ \ \ Eqn1$

"The sum of the two numbers is -1"

$x+y = -1\ \ \ Eqn2$

From equation 2:

$y = -x-1$

Putting y = -x-1 in equation 1

$4x-2(-x-1) = -16\\4x+2x+2 = -16\\6x +2 = -16$

Subtracting 2 from both sides

$6x+2-2 = -16-2\\6x = -18$

Dividing both sides by 6

$\frac{6x}{6} = \frac{-18}{6}\\x = -3$

Putting x = -3 in equation 2:

$x+y = -1\\-3+y = -1\\y = -1+3\\y = 2$

Hence,

The numbers are -3 and 2

Keywords: Linear equations, variables

Learn more about linear equations at:

• brainly.com/question/8520610
• brainly.com/question/846474

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