Solve the system of equations using subsitutions. x-4y=111 and 2y-x=-7

(- 97, - 52)

Step-by-step explanation:

given the 2 equations

x - 4y = 111 → (1)

2y - x = - 7 → (2)

Rearrange (1) expressing x in terms of y by adding 4y to both sides

x = 111 + 4y → (3)

Substitute x = 111 + 4y into (2)

2y - (111 + 4y ) = - 7 ← distribute and simplify left side

2y - 111 - 4y = - 7

- 2y - 111 = - 7 ( add 111 to both sides )

- 2y = 104 ( divide both sides by - 2 )

y = - 52

Substitute y = - 52 into (3) for corresponding value of x

x = 111 + 4(- 52) = 111 - 208 = -97

Solution is ( - 97, - 52 )

one that is bigger than 3 1/2