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Question
Solve the systems of equations :
x+5y=−2;3x−4y=−25
Solve the systems of equations :
x+5y=−2;3x−4y=−25
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Solution
The correct option is C (−7,1)
x+5y=−2 ........ (1)
3x−4y=−25 ......... (2)
Let's replace eq. (2) with the equation we form by multiplying eq. (1) by -3 and then adding that result to eq. (2)
x+5y=−2 ......... (3)
−19=−19 ......... (4)
From eq. (4) we can obtain the value of y.
19y=19
y=1
Now we can substitute 1 for y in eq. (3).
x+5y=−2
x+5(1)=−2
x=−7
The solution set is (−7,1).
x+5y=−2 ........ (1)
3x−4y=−25 ......... (2)
Let's replace eq. (2) with the equation we form by multiplying eq. (1) by -3 and then adding that result to eq. (2)
x+5y=−2 ......... (3)
−19=−19 ......... (4)
From eq. (4) we can obtain the value of y.
19y=19
y=1
Now we can substitute 1 for y in eq. (3).
x+5y=−2
x+5(1)=−2
x=−7
The solution set is (−7,1).
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