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"
[tex]4x-2y = -16\ \ \ Eqn1[/tex]
"The sum of the two numbers is -1"
[tex]x+y = -1\ \ \ Eqn2[/tex]
From equation 2:
[tex]y = -x-1[/tex]
Putting y = -x-1 in equation 1
[tex]4x-2(-x-1) = -16\\4x+2x+2 = -16\\6x +2 = -16[/tex]
Subtracting 2 from both sides
[tex]6x+2-2 = -16-2\\6x = -18[/tex]
Dividing both sides by 6
[tex]\frac{6x}{6} = \frac{-18}{6}\\x = -3[/tex]
Putting x = -3 in equation 2:
[tex]x+y = -1\\-3+y = -1\\y = -1+3\\y = 2[/tex]
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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