Question

x/3-2y/4=-1 , x+y/6=3 by elemination method

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Answer 1

Step-by-step explanation:

x+

6

y

=3

2 Subtract \frac{y}{6}

6

y

from both sides.

x=3-\frac{y}{6}

x=3−

6

y

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x=3-\frac{y}{6}

x=3−

6

y

2 Substitute x=3-\frac{y}{6}x=3−

6

y

into \frac{x}{3}-\frac{2y}{4}=-1

3

x

−

4

2y

=−1.

1-\frac{5y}{9}=-1

1−

9

5y

=−1

3 Solve for yy in 1-\frac{5y}{9}=-11−

9

5y

=−1.

y=\frac{18}{5}

y=

5

18

4 Substitute y=\frac{18}{5}y=

5

18

into x=3-\frac{y}{6}x=3−

6

y

.

x=\frac{12}{5}

x=

5

12

5 Therefore,

\begin{aligned}&x=\frac{12}{5}\\&y=\frac{18}{5}\end{aligned}

x=

5

12

y=

5

18