Solve the problem using the elimination method.
-The sum of two numbers is 4 . Three times the larger number plus two times the smaller number is 37 . Find the numbers.
A) 25 and $- 21$
B) 33 and $- 29$
C) 29 and $- 25$
D) 25 and $- 29$

Question

Quizplus · Accepted Answer

Let's call the larger number "x" and the smaller number "y". 
From the first sentence, we know that:
x + y = 4
From the second sentence, we know that:
3x + 2y = 37
Now, we can use elimination method. Multiply the first equation by 2 and subtract it from the second equation
3x + 2y = 37
- (2x + 2y = 8) 
x = 29
Substitute x = 29 back into the first equation and solve for y
29 + y = 4
y = -25
Therefore, the two numbers are 29 and -25, which is choice C.

Solve the Problem Using the Elimination Method −21- 21−21 B) 33 And

Solve the Problem Using the Elimination Method $- 21$ B) 33 And