Hey ! there
Answer:
Solution of equation or we can say that value of
Step-by-step explanation:
In this question we are given with <u>two equations that are ,</u>
- <u>two equations that are ,x + y = 7</u>
- <u>two equations that are ,x + y = 7x - y = 5</u>
And we are asked to <u>find the solution of equation with the help of substitution method .</u>
<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>
Firstly we are giving numbering to the equation so that there's ease in solving . So ,
- x + y = 7 ----------- <u>( Equation 1 ) </u>
- x - y = 5 ----------- <u>( Equation 2 )</u>
We can see that Equation 2 is smaller than Equation 1 . So we are using Equation 2 to find the value of x .
<u>Finding value of x from Equation 2 :</u>
Adding y on both sides :
We get :
Therefore , value of x is <u>5</u><u> </u><u>+</u><u> </u><u>y </u><u>.</u>
Now substituting value of <u>x as 5 + y</u> in Equation 1 in order to find the <u>value of y.</u> So ,

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u>1 : Substituting value of x :

<u>Step </u>2 : Adding like terms that are y and y :

<u>Step </u>3 : Subtracting 5 on both sides :

We get ,

<u>Step </u>4 : Dividing both sides with 2 :

On simplifying, We get :

- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>y </u><u>is </u><u>❝</u><u> </u><u>2</u><u> </u><u>❞</u>
<u>Now finding value of x </u><u>from </u><u>Equation</u><u> </u><u>3 </u><u>: </u>
<u>For </u><u>finding</u><u> </u><u>value </u><u>of </u><u>x </u><u>we </u><u>are </u><u>substituting</u><u> </u><u>value </u><u>of </u><u>y </u><u>in </u><u>Equation</u><u> </u><u>3 </u><u>.</u><u> </u><u>So </u><u>,</u>
<u>
</u>
Substituting value of y :

Adding 5 with 1 , We get :

- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>x </u><u>is </u><u>❝</u><u> </u><u>6</u><u> </u><u>❞</u>
<u>From </u><u>values </u><u>of </u><u>x </u><u>as </u><u>6</u><u> </u><u>and </u><u>y </u><u>as </u><u>1</u><u> </u><u>we </u><u>can </u><u>say </u><u>that </u><u>they </u><u>are </u><u>the </u><u>solution</u><u> </u><u>of </u><u>given </u><u>equations</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
Now we are checking our answer whether it is wrong or right .
<u>Equation</u><u> </u><u>1</u><u> </u><u>:</u><u> </u><u>x </u><u>+</u><u> </u><u>y </u><u>=</u><u> </u><u>7</u>
Substituting value<u> </u>of x and y in Equation 1 :
<u>Therefore</u><u>,</u><u> our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>
<u>Equation 2 :</u><u> x</u><u> - y = 1</u>
<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>