Question

Solve the system by substitution or elimination.
x - 5y = 2
9x - 15y = -12

Answer 1

Answer: (x, y) = (-3, -1)

Explanation:

Step 1: Solve for x

X = 2 + 5y

9x- - 15y = -12

Step 2: Substitute the given value of x into the equation 9x - 15y = 12

x = 2 + 5y

9x - 15y = -12

9 (2 + 5y) - 15y = -12

Step 3: Solve for y

9 (2 + 5y) - 15y = -12

y = -1

Step 4: substitute the given value of y into the equation x = 2 + 5y

x = 2 + 5x (-1)

Step 5: solve for x

x = -3

Step 6: possible solution of the system is the ordered pair (x, y)

(x, y) = (-3, -1)

Step 7: check if the given ordered pair is the solution of the system of equations

-3 -5x (-1) = 2

9x (-3) -15x (-1) = -12

Step 8: simplify the equalities

2 = 2

-12 = -12

Step 9: since all of the equalities are true, the ordered pair is the solution of the system

(x, y) = (-3, -1)

Hope this helps! If not I'm sorry.