Question

Question 2 of 10 Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y= 17 - 4x - 3v = - 18 Answer here​

Answer 1

Explanation:

To solve the system of equations:

3x + 4y = 17 (equation 1)

-4x - 3v = -18 (equation 2)

We can use either the substitution method or the elimination method. Here, we will use the elimination method to eliminate one of the variables.

Multiplying equation 1 by 4 and equation 2 by -3, we get:

12x + 16y = 68 (equation 3)

12x + 9v = 54 (equation 4)

Subtracting equation 4 from equation 3, we get:

7v = 14

Dividing both sides by 7, we get:

v = 2

Substituting v = 2 into equation 4, we get:

12x + 9(2) = 54

12x + 18 = 54

12x = 36

x = 3

Substituting x = 3 into equation 1, we get:

3(3) + 4y = 17

9 + 4y = 17

4y = 8

y = 2

Therefore, the solution to the system of equations is (3, 2).