Question

Help me please!!

Solve the system of equations using the substitution method.
-2x - 5y = 2
x = -47 +9y

Answer 1

y = -4.174 (aprox)

x = 9.435 (aprox)

Explanation:

-2x - 5y = 2 Eq. 1

x = -47 + 9y Eq. 2

substituying the Eq. 2 in the Eq. 1:

-2(-47+9y) - 5y = 2

(-2*-47 -2*9y) - 5y = 2

-94 -18y - 5y = 2

-23y = 2 + 94

-23y = 96

y = 96/-23

y = -4.174 (aprox)

from the Eq. 2

x = -47 + 9y

x = 47 + 9*-4.174

x = 47 - 37.565

x = 9.435 (aprox)

Check:

from the Eq. 1

-2x - 5y = 2

-2*9.345 -5*-4.174 = 2

-18.87 + 20.87 = 2