A system of equations is shown:

4x = −3y + 17
3x − 4y = −6

What is the solution to this system of equations?
(−2, −3)
(3, 2)
(2, 3)
(−3, −2)

Using substitution, it is found that the solution of the system of equations is: (2,3).

The equations are:

From the second equation:

Replacing in the first:

Multiplying everything by 3:

Then:

Then, the solution is (2,3).

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(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

im not quite sure if this is right but i got 5.6 oisutuve

step-by-step explanation: