Solving Equations Using Substitution Quick Check
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Question
Solve the system of equations.
−4x+6y=38
x−5y=−20(1 point)
Responses
(−5, 3)
left parenthesis negative 5 comma 3 right parenthesis
(5, 3)
left parenthesis 5 comma 3 right parenthesis
(−35, −3)
left parenthesis negative 35 comma negative 3 right parenthesis
(35, −3)
left parenthesis 35 comma negative 3 right parenthesis
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To solve the system of equations using substitution, we can start by isolating one of the variables in the second equation. Let's isolate x:
x - 5y = -20
x = 5y - 20
Now we can substitute x with 5y - 20 in the first equation:
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y + 80 = 38
-14y = -42
y = 3
Now that we have found the value of y, we can substitute it back into x = 5y - 20:
x = 5(3) - 20
x = 15 - 20
x = -5
Therefore, the solution to the system of equations is (-5, 3). So the correct response is:
(−5, 3)
left parenthesis negative 5 comma 3 right parenthesis