Question

14 Solve: 4x + 3y = 2100; 5x + 2y =1750 * (1 Point) O a) (50,200) b) (200,300) O c) (150,500) d) (90,120)​

Answer 1

Answer:

To Find:- Solution of the equation

Solution:-

Given

4x+3y=2100 (Eq. 1)

also

$5x+2y=1750 \\ 5x = 1750 - 2y \\ x = \frac{1750 - 2y}{5}$

(Eq. 2)

So from (Eq. 1) & (Eq. 2)

$4 ( \frac{1750 - 2y}{5} )+ 3y = 2100 \\ \frac{7000 - 8y}{5} + 3y = 2100 \\ \frac{7000 - 8y + 15y}{5} = 2100 \\ 7000 + 7y = 10500 \\ 7y = 10500 - 7000 = 3500 \\ y = \frac{3500}{7} \\ y = 500$

Therefore value of y=500

and now to find x ,From (Eq. 1)

4x+3y=2100

4x+3×500=2100

4x=2100-1500=600

x=600÷4

x=150

Therefore value of x=150

So,(150,500) is a solution of the equation

Therefore the correct answer is Option C) (150,500)