Question

4x + y = 10

3x - 2y = 13
What is the intersection of these two lines? Show your work
3. The equations of two lines are:
A) (2, 3)
B) (3,-2)
C) (-1, 14)
D) (3, -6)
E) None of the above
Graph the given system and determine which best describes the

Answer 1

B (3,-2)

Explanation:

4x + y = 10 ⇒ multiply by 2 ⇒ 8x + 2y = 20 add to 3x - 2y = 13

8x + 2y = 20

3x -2y = 13

11x = 33 Divide both sides by 11

x = 3

Substitute in 3 for x in either of the 2 original equations to solve for y.

4x + y = 10

4(3) + y = 10

12 + y = 10 Subtract 12 from both sides of the equation

12 - 12 +y = 10 - 12

y = -2

The solution is (3,-2)