What is the solution to the system of equations below?
1 answer:
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
You can equate the expressions for y and solve for x.
3/4x -12 = -4x -31
Adding 4x+12 gives ...
(4 3/4)x = -19
(19/4)x = -19
Multiplying by 4/19, we find ...
x = -4
Substituting that into the first equation, we can find y:
y = (3/4)(-4) -12 = -15
The solution is (x, y) = (-4, -15).
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Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
<h3>What is a matrix?</h3>- A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
- For instance, consider a matrix with two rows and three columns.
To find the order of matrix:
- We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
- Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
- Dimension is assigned to the provided matrix: 6 × 5
- This means the given matrix contains six rows and five columns.
- As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
- The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.
To prove:
- In other words, the inner products of the dimensions should be equal.
- That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
- The dimensions of the matrix are given by, row × column.
Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
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