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Sergio039 [100]
4 years ago
11

Solve x-3y=-6 and 2x-y=3 using equal value method

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
7 0

Answer:

x = 3

y = 3

Step-by-step explanation:

To solve x - 3y = -6 and 2x - y = 3 using equal value method, express othe same variable from each equation.

1st equation:

x=3y-6

2nd equation:

2x=y+3\\ \\x=\dfrac{1}{2}(y+3)

Equate the right sides of these expressions:

3y-6=\dfrac{1}{2}(y+3)

Multiply by 2:

6y-12=y+3\\ \\6y-y=3+12\\ \\5y=15\\ \\y=\dfrac{15}{5}\\ \\y=3

Substitute it into the first expression:

x=3\cdot 3-6\\ \\x=9-6\\ \\x=3

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4 years ago
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