Question

69 points!!!

Answer 1

Answer:

(2, 3)

Step-by-step explanation:

Given:  4x = −3y + 17  and  3x − 4y = −6

4x = -3y + 17

∴ 4x + 3y = 17  ⇒ (1)

   3x − 4y = −6 ⇒ (2)

Multiplying eq.(1) by 4 and eq.(2) by 3

16x + 12y = 68

9x - 12y = -18

Add the last 2 equations, the y terms will be eliminated

16x + 9x = 68 - 18

25x = 50

∴ x = 50/25 = 2

By substitution with x at eq.(1)

4*2 + 3y = 17

8 + 3y = 17

3y = 17 - 8 = 9

∴ y = 9/3 = 3

So, x = 2 and y = 3

The solution to this system of equations is (2,3)

Also see the attached figure which represent the graphical solution for the given system of equations