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olga_2 [115]
3 years ago
10

Hurry Quick, help me do this problem. I don't understand how to do this so please help! (Problem in photo)

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer:

1) The system of equations is 5x+4y=75 and x+y=18

2) The first number is 3 and the second number is 15

Step-by-step explanation:

1) Let be "x" the first number and "y" the second number.

Remember that:

a- The word "times" indicates multiplication.

b- A sum is the result of an addition.

c- "Is" indicates this sign:  =

Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:

5x+4y=75

And "The sum of the two numbers is 18" can written as:

x+y=18

Therefore, the System of equations is:

\left \{ {{5x+4y=75} \atop {x+y=18}} \right.

2) You can use the Elimination Method to solve it:

- Multiply the second equation by -5, add the equations and then solve for "y":

\left \{ {{5x+4y=75} \atop {-5x-5y=-90}} \right.\\......................\\-y=-15\\\\y=15

- Substitute the value of "y" into any original equation and solve for "x":

x+15=18\\\\x=18-15\\\\x=3

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