Solve the system of two equations using substitution.

y=2+3x
4x−3y=−16(1 point)
Responses

(2, 10)
left parenthesis 2 comma 10 right parenthesis

(−2, 4)
left parenthesis negative 2 comma 4 right parenthesis

(2, 8)
left parenthesis 2 comma 8 right parenthesis

(−2, −4)

9 answers

(2, 8) is the correct solution to the system of equations.
Solve the system of equations.
2x+6y=−18
x=5y−1(1 point)
Responses

(−7.25, −1.25)
left parenthesis negative 7.25 comma negative 1.25 right parenthesis

(−6, −1)
left parenthesis negative 6 comma negative 1 right parenthesis

(5.25, 1.25)
left parenthesis 5.25 comma 1.25 right parenthesis

(4, 1)
(−6, −1) is the correct solution to the system of equations.
Solve the system of equations.
3x+y=2
7x−4y=30(1 point)
Responses

(2, −4)
left parenthesis 2 comma negative 4 right parenthesis

(2, −2)
left parenthesis 2 comma negative 2 right parenthesis

(12, 12)
left parenthesis start fraction 1 over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis

(−2, 8)
left parenthesis negative 2 comma 8 right parenthesis
(2, -4) is the correct solution to the system of equations.
Solve the system of equations.
−4x+6y=38
x−5y=−20(1 point)
Responses

(5, 3)
left parenthesis 5 comma 3 right parenthesis

(−35, −3)
left parenthesis negative 35 comma negative 3 right parenthesis

(−5, 3)
left parenthesis negative 5 comma 3 right parenthesis

(35, −3)
(5, 3) is the correct solution to the system of equations.
How many solution(s) does the system of equations have?
−5x+y=−18
10x−2y=36(1 point)
Responses

one
one

two
two

none
none

infinite
The system of equations has one solution.
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