Question

1) { x + 3y = 6 { 2x + y = 72) { 2x + 4 = 11 { 3x - y = 9​

Answer 1

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Answer 2

To solve the system of equations:

1. x + 3y = 6
2. 2x + y = 72
3. 2x + 4 = 11
4. 3x - y = 9

We can use the method of substitution or elimination to find the values of x and y that satisfy all the equations. Let's use the method of substitution:

From equation (3), we have 2x + 4 = 11. Solving for x, we subtract 4 from both sides: 2x = 11 - 4 2x = 7 x = 7/2 x = 3.5

Now, substitute the value of x in equations (1) and (2):

1. x + 3y = 6 3.5 + 3y = 6 3y = 6 - 3.5 3y = 2.5 y = 2.5/3 y ≈ 0.8333 (rounded to 4 decimal places)

2. 2x + y = 72 2(3.5) + y = 72 7 + y = 72 y = 72 - 7 y = 65

Now, let's check if these values satisfy the remaining equation (4):

3. 3x - y = 9 3(3.5) - 65 = 9 10.5 - 65 = 9 -54.5 = 9

The value of y = 65 does not satisfy equation (4). This means that the system of equations does not have a solution that satisfies all the given equations.