Question

$1.9 \\ \times 68$
please solve this in full method ​

Answer 1

Answer:

We will get the value of x=\frac{1}{2}x=

2

1

and y=5.y=5.

Step-by-step explanation:

We have to evaluate the given data.

Given data:- 8x+7y=39, 4x-14y=-68.

To find:- Value of x and y.

Solution:-

First, let's multiply the first equation by two on both sides:

\begin{gathered}2\times( 8 x+7 y=39)\\ = > 16x+14y=78\end{gathered}

2×(8x+7y=39)

=>16x+14y=78

Now the equation is

\begin{gathered}\begin{array}{l} 16 x+14 y=78 \\ 4 x-14 y=-68 \end{array}\end{gathered}

16x+14y=78

4x−14y=−68

After adding this up in the column

\begin{gathered}\begin{array}{l} (16 x+4 x)+(14 y-14 y)=78-68 \\ \Rightarrow20 x=10 \\ \Rightarrow x=\frac{10}{20} \\ \Rightarrow x=\frac{1}{2}\\ \end{array}\end{gathered}

(16x+4x)+(14y−14y)=78−68

⇒20x=10

⇒x=

20

10

⇒x=

2

1

y can be calculated by replacing the x

\begin{gathered}\begin{array}{l} 8 x+7 y=39 \\ \Rightarrow 8 \times \frac{1}{2} +7 y=39 \\ \Rightarrow 4+7 y=39 \\ \Rightarrow 7 y=39-4 \\ \Rightarrow 7 y=35 \\ \Rightarrow y=35 \div 7=5 \end{array}\end{gathered}

8x+7y=39

⇒8×

2

1

+7y=39

⇒4+7y=39

⇒7y=39−4

⇒7y=35

⇒y=35÷7=5

Step-by-step explanation:

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