Answer: 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 = 13-----equation 1
also Twice the first number plus the second totals 35
2x+ y = 35---- equaton 2
Step 2 --- Solving
x + 2y = 13-----equation 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
