Question
![Identify a solution to this system of equations:
) -4x+3y=23 x-y=-7
a. (-5,2)
b (-2,5)
c (-3,4)
d. (4,-3)](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202411%2Fidentify-solution-system-equations-4x3y23-xy7-52b-25c-t1TVMHiUfZ0t.jpg?x-oss-process=image/resize,w_600,h_600/quality,q_50/format,webp)
Identify a solution to this system of equations: ) -4x+3y=23 x-y=-7 a. (-5,2) b (-2,5) c (-3,4) d. (4,-3)
Solution
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4.1
(304 Votos)
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Ursula
Mestre · Tutor por 5 anos
Resposta
To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use the elimination method.First, let's add the two equations together:
Now, we can solve for
:
Divide both sides by -3:
Now, substitute this expression for
into the second equation:
Multiply through by 3 to clear the fraction:
Combine like terms:
Divide both sides by -1:
Now, substitute
into the second equation to solve for
:
Add 5 to both sides:
So the solution is
, which corresponds to option b.