3x-2y=3 2x+y=16
using cramers rule
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Step-by-step explanation:
3x−2y=3;2x+y=16
Rewrite equations:
2x+y=16;3x−2y=3
Step: Solve2x+y=16for y:
2x+y=16
2x+y+−2x=16+−2x(Add -2x to both sides)
y=−2x+16
Step: Substitute−2x+16foryin3x−2y=3:
3x−2y=3
3x−2(−2x+16)=3
7x−32=3(Simplify both sides of the equation)
7x−32+32=3+32(Add 32 to both sides)
7x=35
7x
7
=
35
7
(Divide both sides by 7)
x=5
Step: Substitute5forxiny=−2x+16:
y=−2x+16
y=(−2)(5)+16
y=6(Simplify both sides of the equation)
Answer:
x=5 and y=6
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