Question

solve 4x+3y=72 and 2x+6y=72 by elemination method​

Answer 1

Answer:

multiply the 1st equation by 2

so we get 8x+6y= 144

2x+6y=72

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6x = 72

therefore x=12

Answer 2

Question:-

• Solve 4x + 3y = 72 and 2x + 6y = 72 by elimination method.

Solution:-

• Equation-1 : 4x + 3y = 72
• Equation-2 : 2x + 6y = 72

Now,multiplying the equation 1 with 2 and equation 2 with 4.

• ➤ 2(4x + 3y = 72) = 8x + 6y = 144
• ➤ 4(2x + 6y = 72) = 8x + 24y = 288

Then,

8x + 6y = 144

8x + 24y = 288

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0x + 30y = 432

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Subtracting 8x with 8x and adding 6y with 24y.

• ➤ 30 y = 432
• ➤ y = 432/30
• ➤ y = 14.4

Now,Putting the value of y in equation 1.

• ➤ 4x + 3y = 72
• ➤ 4x + 3(14.4) = 72
• ➤ 4x + 43.2 = 72
• ➤ 4x = 72 - 43.2
• ➤ 4x = 28.8
• ➤ x = 28.8/4
• ➤ x = 7.2

Let us verify the equation 1 by putting the value of x and y.

• Equation-1: 4x + 3y = 72

• ➤ 4(7.2) + 3(14.4) = 72
• ➤ 28.8+ 43.2 = 72
• ➤ 72 = 72

Now,Putting the value of y in place of x and value of x in place of y,

• Equation-2: 2x + 6y = 72

• ➤ 2(14.4) + 6(7.2) = 72
• ➤ 28.8 + 43.2 = 72
• ➤ 72 = 72

• Hence,Verified.

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