Question

What is the solution of the system?
2x - y = -7
4x - y = -4

A-(-1.5, 4)
B-(1.5, 10)
C-(4,-1.5)
D-(-1.5,-2)

Answer 1

To solve the system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can eliminate the variable "y" by subtracting the second equation from the first equation:

(2x - y) - (4x - y) = (-7) - (-4)
2x - y - 4x + y = -7 + 4
-2x = -3

Dividing both sides of the equation by -2 gives us:
x = 3/2 or x = 1.5

Substituting the value of x back into one of the original equations, we can solve for y:

2(1.5) - y = -7
3 - y = -7
-y = -10
y = 10

Therefore, the solution to the system of equations is (x, y) = (1.5, 10).

The correct answer choice is B-(1.5, 10).