Question

Solve the system of equations using the substitution method.

y=2x−1/2
2x−3y=4



Enter your answer, as decimals, in the boxes.

Answer 1

Explanation:

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

so

x = -0.625 and y = -2.25

Answer 2

x = -0.625

y = - 1.75

Explanation:

y = 2x - 1/2 ------------(I)

2x - 3y = 4 ---------(II)

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

`2x - 3*(2x - (1)/(2))=4\\\\\\2x - 6x + (3)/(2)=4\\\\-4x = 4-(3)/(2) = (8)/(4)- (3)/(2)\\\\-4x = (5)/(2)\\\\x = (5)/(2)* (1)/(-4)\\\\x= (-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`