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Question

Solve the system : 6x+5y=−3,y=−2x−7

A
(2,4)
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B
(1,2)
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C
(8,9)
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D
(7,8)
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Solution

The correct option is C (8,9)
6x+5y=3 ....... (1)
y=2x7 .......(2)
Because the second equation is of the form y equals, let's use the substitution method. From the second equation we can substitute 2x7 for y in the first equation 6x+5y=3
i.e., 6x+5(2x7)=3
Solving this equation yields
6x10x35=3
4x35=3
4x=32x=8
Substitute -8 for x in the second equation to yield.
y=2(8)7=167=9
The solution set is (8,9)

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