Question

Solve the system of equations using the substitution method.

Answer 1

Answer:

Step-by-step explanation:

x = -5/8 and y = -7/4

so

x = -0.625 and y = -2.25

Answer 2

Answer:

x = -0.625

y = - 1.75

Step-by-step explanation:

y = 2x - 1/2  ------------(I)

2x - 3y = 4   ---------(II)

Substitute y =2x - 1/2 in (II)

$2x - 3*(2x - \dfrac{1}{2})=4\\\\\\2x - 6x + \dfrac{3}{2}=4\\\\-4x = 4-\dfrac{3}{2} = \dfrac{8}{4}- \dfrac{3}{2}\\\\-4x = \dfrac{5}{2}\\\\x = \dfrac{5}{2}* \dfrac{1}{-4}\\\\x= \dfrac{-5}{8}\\\\x= -0.625$

Plugin x = -0.625 in equation (I)

$y = 2*(-0.625) - 0.5\\\\y = -1.25 - 0.5\\\\y = -1.75$