Question

Michael solved the system of linear equations and provided the solution. 3x – 3y = 6 4x – 7y = 2. In which step did Michael show his first error?

1) Step 2
2) Step 3
3) Step 4
4) No errors are present in the solution

Answer 1

Michael did not make any errors in his solution.

Step-by-step explanation:

The system of linear equations:

3x – 3y = 6

4x – 7y = 2

To find the error, we need to solve the system of equations step by step:

1. Multiply the first equation by 4 and the second equation by 3 to make the coefficients of x the same:
2. 12x - 12y = 24
3. 12x - 21y = 6
4. Subtract the first equation from the second equation:
5. (12x - 21y) - (12x - 12y) = (6 - 24)
6. -21y + 12y = -18
7. -9y = -18
8. Divide both sides of the equation by -9 to solve for y:
9. y = (-18)/(-9) = 2
10. Substitute the value of y into one of the original equations to solve for x:
11. 3x - 3(2) = 6
12. 3x - 6 = 6
13. 3x = 12
14. x = 4

There are no errors in Michael's solution, so the correct answer is 4) No errors are present in the solution.