The system of equations is 5x+4y=75 and x+y=18.
The first number is 3 and the second number is 15.
Step-by-step explanation:
Two numbers are x and y.
According to given statement;
5x+4y=75 Eqn 1
x+y=18 Eqn 2
Multiplying Eqn 2 by 5
[tex]5(x+y=18)\\5x+5y=90\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 1 from Eqn 3
[tex](5x+5y)-(5x+4y)=90-75\\5x+5y-5x+4y=15\\y=15[/tex]
Putting y=15 in Eqn 2
[tex]x+15=18\\x=18-15\\x=3[/tex]
The system of equations is 5x+4y=75 and x+y=18.
The first number is 3 and the second number is 15.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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