A first number plus twice a second number is 13 Twice the first number plus the second totals 35 Find the numbers.

 the first number is 19 and second number is -3

Step-by-step explanation:

Let the First number be represented as  x

and  second number be represented as  y

Therefore, A first number plus twice a second number is 13 be expressed as

x + 2y = 13equation 1

also  Twice the first number plus the second totals 35

2x+ y = 35 equaton 2

Step 2 --- Solving

x + 2y = 13equation 1

2x+ y = 35 equation 2

By substitution, making x subject of formulae in equation 1

x+ 2y = 13

x= 13 - 2y

putting the value of x= 13- 2y in equation 2

2( 13 - 2y) + y= 35

26 - 4y + y= 35

-4y + y= 35- 26

-3y= 9

y = 9/-3

y= -3

To Find x , using equation 1

x + 2y = 13

x+ 2 x -3= 13

x-6=13

x= 13+6

x= 19

Therefore the first number = 19 and the second number = -3

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