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4 x+7y=3 x=7/4 y=3/4\ (x, y)=

User Aqif Hamid
by
8.2k points

2 Answers

2 votes

Final answer:

The values of x and y are 7/4 and 3/4 respectively.

Step-by-step explanation:

Given the equations:

4x + 7y = 3

x = 7/4

y = 3/4

To find the values of x and y, we substitute the given values into the equation.

Substituting x = 7/4 and y = 3/4 into the equation 4x + 7y = 3:

4(7/4) + 7(3/4) = 3

7 + 21/4 = 3

28/4 + 21/4 = 3

49/4 = 3

Therefore, (x, y) = (7/4, 3/4).

User Newcoma
by
8.3k points
3 votes

Final answer:

Upon substituting x = 7/4 and y = 3/4 into 4x + 7y = 3, the result is not equal to 3, indicating that these values do not satisfy the equation.

Step-by-step explanation:

The question asks to solve for the values of variables x and y in the given linear equation 4x + 7y = 3. To find the solution, we substitute the given values of x = 7/4 and y = 3/4 into the equation to see if they satisfy it. The process involves multiplying 4 by x and 7 by y, then adding the results to see if the sum is equal to 3.

Let's substitute the given values:


  • 4(7/4) + 7(3/4)

  • 7 + 21/4

  • 28/4 + 21/4

  • (28 + 21) / 4

  • 49/4

  • 12.25, which is not equal to 3

Since 12.25 is not equal to 3, the values x = 7/4 and y = 3/4 do not satisfy the equation 4x + 7y = 3, which indicates there might be an error in the values given for x and y. The correct solution for x and y would make the equation hold true.

User Mpz
by
7.9k points