Question

two numbers add up to 65. five times the first number is 17 more than twice the second number. what are the numbers? create 2 equations based on the information above, then utilize elimination to solve for the 2 numbers.
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Equation 1:_____________
Equation 2:_____________

Answer 1

Answer:

Eqns are:

x+y=65...................(1)

5x=2y+17................(2)

x=21,  y=44

Step-by-step explanation:

Let the numbers are x and y

The their sum

x+y=65...................(1) This is Equation 1

y=65-x...................(a)

Now five times the first number is 17 more than twice the second number So 5x=2y+17............(2) this is Equation 2

Now from(a)

5x=2(65-x)+17

5x=130-2x+17

5x+2x=147

7x=147

x=21

thus from (a)

y=65-21=44