Question

A system of equations is shown:

4x = -3y + 17
3x - 4y = -6
What is the solution to this system of equations? (5 points)
(3,2)
(-3,-2)
(-2,-3)
(2,3)

Answer 1

Answer: (2;3).

Explanation:

`\displaystyle\\\left \{ {{4x=-3y+17} \atop {3x-4y=-6}} \right. \ \ \ \ \left \{ {4x+3y=17\ \atop 3x-4y=-6\ } \right. \ \ \ \ \left \{ {{16x+12y=68} \atop {9x-12y=-18}} \right. \\Let's\ sum \ up\ these\ equations:\\25x=50\ |:25\\x=2.\\4*2=-3y+17\\8+3y=17\\3y=9\ |:3\\y=3.`

Answer 2

(3, 2) false

(-3, 2) false

(-2, -3) false

(2, 3) true