Can someone please help me with this problem.

Given Matrix Y= 2 -7 4 and
-1 1 0

Matrix Z= 3 4 1
4 2 -4
Solve for matrix X.
X-2Y=3X+Z

HELP PLEASE!!!

2 X = -2Y - Z

X = -Y - Z/2

-Y =
-2 +7 -4
+1 -1 +0

-Z/2 =
-3/2 -2/1 -1/2
-2/1 -1/1 +2/1

sum =
-3.5 + 9 -4.5
- 1 - 2 +2

are you sure 9 and 2 is right??

No careless

sum =
-3.5 + 5 -4.5
- 1 - 2 + 2

To solve for matrix X in the equation X - 2Y = 3X + Z, we can follow these steps:

1. Rearrange the terms to isolate X: X - 2Y - 3X = Z.
Simplify: -2Y - 2X = Z.
Divide the entire equation by -2: (2Y + 2X) / (-2) = Z / (-2).
The equation becomes: -Y - X = -0.5Z.

2. Now we have -Y - X = -0.5Z, which can be rewritten as:
Y + X = 0.5Z.

3. Next, substitute the given values for Y and Z into the equation:
Y = 2 -7 4
-1 1 0
Z = 3 4 1
4 2 -4

Substitute the values into Y + X = 0.5Z:
2 - 7 + X + (-1) + 1 + X = 0.5(3 4 1 4 2 -4).

4. Simplify the scalar on the right side:
1 + 2X - 6 = 0.5(3 4 1 4 2 -4).

5. Further simplify:
2X - 5 = (1.5 2 0.5 2 1 -2).

6. Isolate X by moving the constant term to the other side:
2X = 1.5 2 0.5 2 1 -2 + 5.

7. Add the constant terms on the right side:
2X = (6.5 7 5.5 7 6 3).

8. Divide the equation by 2 to solve for X:
X = (6.5 7 5.5 7 6 3) / 2.

Therefore, X is equal to:
X = (3.25 3.5 2.75 3.5 3 1.5).

Make sure to verify the answer by substituting X back into the original equation X - 2Y = 3X + Z to ensure it satisfies the equation.