What is the solution of the system? 5x + 2y = 9 4x - 3y = 44
1 answer:
Hello!
5x + 2y = 9
4x - 3y = 44
We can eliminate y by multiplying both expressions in order to have the y coefficients equal.
The LCM (least common multiple) of 2 and 3 is 6, so we can multiply each accordingly:
3(5x + 2y = 9)
2(4x - 3y = 44)
Distribute:
15x + 6y = 27
8x - 6y = 88
Cancel using addition:
15x + 6y = 27
8x - 6y = 88
------------------
23x = 115
Divide:
x = 5.
Plug in this value of x into an equation to solve for y:
5(5) + 2y = 9
25 + 2y = 9
2y = -16
y = -8
The solution of the system is:
(5, -8).
You might be interested in
<h2>Greetings!</h2>
<h2>Hope this helps!</h2>
Answer:
One number is and the other number is
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x =
6x + 3y = 3
6() + 3y = 3
+ 3y = 3
3y = 3 -
3y =
Divide both sides by 3 to get 1y:
y =
So one number is and the other number is
<h2>Hope this helps!</h2>