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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)

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)

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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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.