Question

What is the solution to this system of linear equations?

X - 3y = -2
X + 3y = 16
A. (7, 3)
B. (3, 7)
C. (-2, -3)
D. (-3, -2)

Answer 1

Explanation:

2x = 14

x = 7

7 + 3y = 16

3y = 9

y = 3

(7, 3)

answer is A

Answer 2

x=7 and y=3

Explanation:

Step: Solve x−3y=−2 for x:

x−3y=−2

x−3y+3y=−2+3y(Add 3y to both sides)

x=3y−2

Step: Substitute3y−2for x in x+3y=16:

x+3y=16

3y−2+3y=16

6y−2=16(Simplify both sides of the equation)

6y−2+2=16+2(Add 2 to both sides)

6y=18

6y

6

=

18

6

(Divide both sides by 6)

y=3

Step: Substitute3foryinx=3y−2:

x=3y−2

x=(3)(3)−2

x=7(Simplify both sides of the equation)

Answer:

x=7 and y=3