State A has 14 fewer electoral votes than state B if the total number for votes in the two states is 82 find the number for each state

Answer 1

x = State A Replace State A and State B with the variables x and y.

y = State B

x = y - 14 The equation for "State A has 14 fewer electoral votes than state B"

x + y = 82 The total number of the votes in 2 states is 82

(y - 14) + y = 82 Replace x in the 2^nd equation with "y-14"

2y - 14 = 82

2y = 96

y = 48 votes for State B

x = 48 - 14

x = 34 votes for State A