Question

In the 1976 presidential election, 538 electoral votes were cast. Of these, x went to Jimmy Carter, y went to Gerald Ford, and z went to Ronald Raegan. The value of x is 57 more than y. The value of y is 239 more than z. Erie a system of linear equations that models the electoral votes cast in the 1976 presidential election.

Answer 1

The system of linear equations that models the electoral votes in the 1976 presidential election is x + y + z = 538, x = y + 57, and y = z + 239. These equations represent the total electoral votes, the excess of votes Jimmy Carter had over Gerald Ford, and the excess of votes Gerald Ford had over Ronald Reagan, respectively.

Step-by-step explanation:

To model the electoral votes cast in the 1976 presidential election using a system of linear equations, we can use the information provided to set up three equations. Since there are 538 electoral votes total, and x, y, and z are the number of votes for Jimmy Carter, Gerald Ford, and Ronald Reagan respectively, our first equation is:

x + y + z = 538

The second piece of information tells us that Jimmy Carter received 57 more votes than Gerald Ford, which gives us the second equation:

x = y + 57

The third piece of information states that Gerald Ford received 239 more votes than Ronald Reagan, yielding the third equation:

y = z + 239

Combining these equations, we have a system of linear equations:

1. x + y + z = 538
2. x = y + 57
3. y = z + 239

Answer 2

Yeah I’m going back and then I’ll try again I