Question

Solve the system of linear equations in coordinate form (x, y):

16x - 5y = -28
8x - 4y = -8
A) x = 3, y = -4
B) x = -2, y = 0
C) x = -1, y = 2
D) x = 4, y = 6

Answer 1

To solve the system of linear equations, we can use the method of elimination. The solution to the system is x = 3 and y = -4.

Step-by-step explanation:

1. Multiply the second equation by 2 to get 16x - 8y = -16.

2. Subtract the second equation from the first equation: (16x - 5y) - (16x - 8y) = (-28) - (-16).

3. Simplify and solve for y: 3y = -12, y = -4.

4. Substitute the value of y back into any of the original equations to solve for x: 16x - (5)(-4) = -28, 16x + 20 = -28, 16x = -48, x = 3.

Therefore, the solution to the system of linear equations is x = 3 and y = -4.