Question

If 2x - 3y = 14 and 5x + 2y = 16, then

a) x = 2, y = 4 b) x = -2, y = 4 c) x = 4, y = 2 d) x = 4, y = -2​

Answer 1

Answer:

(x, y) =(4, -2)

Step-by-step explanation:

// Solve equation [2] for the variable y

[2] 2y = -5x + 16

[2] y = -5x/2 + 8

// Plug this in for variable y in equation [1]

[1] 2x - 3•(-5x/2+8) = 14

[1] 19x/2 = 38

[1] 19x = 76

// Solve equation [1] for the variable x

[1] 19x = 76

[1] x = 4

// By now we know this much :

x = 4

y = -5x/2+8

// Use the x value to solve for y

y = -(5/2)(4)+8 = -2