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andriy [413]
3 years ago
7

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
y=\frac{1}{2}x \\
2x+3y=28 \\ \\
\hbox{substitute } \frac{1}{2}x \hbox{ for y in the second equation:} \\
2x+3 (\frac{1}{2}x)=28 \\
2x+\frac{3}{2}x=28 \ \ \ \ \  |\times 2 \\
4x+3x=56 \\
7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |\div 7 \\
x=8 \\ \\
y=\frac{1}{2}x=\frac{1}{2} \times 8=4 \\ \\
\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}
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