Answer:
✔️The correct system of linear equations:
2x + 3y = 34
3x + 2y = 36
Cost of each roast beef sandwich: $8
Cost of each turkey sandwich: $6
Step-by-step explanation:
Cost of each roast beef sandwich = x
Cost of each turkey sandwich = y
First platter consists of:
2 roast beef sandwiches, which costs 2 × x = 2x, and,
3 turkey sandwiches, which costs 3 × y = 3y.
Total cost of first platter is $34.
Thus, an equation that represents this scenario would be:
2x + 3y = 34.
The other platter consists of:
3 roast beef sandwiches, which costs 3 × x = 3x, and,
2 turkey sandwiches, which costs 2 × y = 2y.
Total cost is $36.
Thus, an equation that represents this scenario would be:
3x + 2y = 36.
The correct system of linear equations would be:
2x + 3y = 34
3x + 2y = 36
Find the value of x and y by solving simultaneously.
Thus:
2x + 3y = 34 ----› Eqn. 1 × 2
3x + 2y = 36 ----› Eqn. 2 × 3
4x + 6y = 68
9x + 6y = 108
Subtract
-5x = - 40
Divide both sides by -5
x = 8
Cost of each roast beef sandwich = x = $8
Substitute x = 8 into eqn. 1.
2x + 3y = 34 ----› Eqn.
2(8) + 3y = 34
16 + 3y = 34
3y = 34 - 16
3y = 18
Divide both sides by 3
y = 6
Cost of each turkey sandwich = y = $6
