Two numbers are 3 and 7
Step-by-step explanation:
Let x be the first number and y be the second number
Then according to given statements
[tex]x + 3y = 24\ \ \ Eqn\ 1\\5x+3y = 36\ \ \ Eqn\ 2[/tex]
Subtracting equation 1 from equation 2
[tex]5x+3y - (x+3y) = 36-24\\5x+3y-x-3y = 12\\4x = 12[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{12}{4}\\x = 3[/tex]
Putting x=3 in equation 1
[tex]x+3y = 24\\3+3y = 24\\3y = 24-3\\3y = 21[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{21}{3}\\y = 7[/tex]
Hence,
Two numbers are 3 and 7
Keywords: Linear equations, variables
Learn more about variables at:
- brainly.com/question/4459688
- brainly.com/question/4460262
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