Question

2) Solve the following simultaneous equations by using
elimination by substitution method.​

Answer 1

Step by step explanation

• 2y - x = 0 ... (i)

• 15y + 10x = 105 .... (ii)

According to your question, we will solve given equations by elimination method

• Multiplying (i) by 10, we get:

• 20y - 10x = 0 ... (iii)

• Adding (ii) and (iii), we get:

• 35y = 105

• y = 105

35

• y = 3

Now, putting y = 3 in (ii), we get

• 10x + 15 × 3 = 105
• 10x + 45 = 105

• 10x = 105 - 45
• 10x = 60

• x = 60

10

• x = 6

Hence, x = 3 and y = 6