Question

8x + 2 y = 4
16x - y = 18

Answer 1

Solution to the system of linear equations is (5/3, -14/3)

Explanation:

• Step 1: The system of linear equations are

8x + 2y = 4 ------ (1)

16x - y = 18 ------ (2)

• Step 2: Multiply eq(2) by 2 to make coefficients of y equal

8x + 2y = 4

16x - 2y = 36

• Step 3: Add the two equations

⇒ 24x = 40

⇒ x = 40/24 = 5/3

• Step 4: Find the value of y

⇒ 8 × 5/3 + 2y = 4

⇒ 40/3 + 2y = 4

⇒ 2y = 4 - 40/3 = -28/3

⇒ y = -14/3