Question

Solve the given equation : 2 x + y = 23 and 4x – y = 19?​

Answer 1

Given System of Equations are:

2x+y=23 ...(1)

4x−y=19 ...(2)

Now adding both the equation will have:

6x=42

x=7

Now substituting x=7 in in equation (1)

⇒2(7)+y=23

⇒14+y=23

⇒y=9

Now substituting x=7 and y=9 in 5y−2x

⇒5(9)−2(7)

⇒45−14

⇒31

Answer 2

Step-by-step explanation:

• 2x + y = 23 → ①
• 4x - y = 19 → ②

From eqn 1⃣

• 2x + y = 23
• 2x = 23 - y
• x = 23 - y / 2

Now,

• Substitute "x" value in eqn 2⃣

• 4x - y = 19
• 4(23-y / 2) - y = 19
• 2(23 - y) - y = 19
• 46 - 2y - y = 19
• 46 - 3y = 19
• -3y = 19 - 46
• -3y = -27
• y = -27 / 3
• y = 9

Now,

• Substitute "y" value in eqn 1⃣

• 2x + y = 23
• 2x + 9 = 23
• 2x = 23 - 9
• 2x = 14
• x = 14 / 2
• x = 7

:. x = 7 and y = 9

Hence , Solved ..... ✔