Question

Please Solve: x+y= 7 , 2x-3y= 9
complete explanation excepted.​

Answer 1

Start solving using elimination method

multiplying the Ist equ. by 2 to have same x term to terminate

We get

2x+2y - 14

2x-3y - 9

Now by changing the sign of the 2nd equ.

we get , 5y - 5

So -

y - 1

Put the value in Ist equ.

You will get ,

2x+2*(1)- 14

then,

2x- 12

so x - 6

That's how you can solve any question similar to this one

Hope it will help you

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Answer 2

Answer:

$x=6\\y=1$

Step-by-step explanation:

The first equation is:

$x+y=7$

Taking $y$ to the other side,

$x=7-y$. This is your Equation 1.

The Equation 2 is:

$2x-3y=9$

Now you have to substitute the value of $x$ from Eqn 1, in Eqn 2. In other words, you have to substitute Equation 1 into Equation 2:

$2\left(7-y\right)-3y=9$

Solving it further,

$2\times7-2\times y-3y=9\\14-2y-3y=9\\14-5y=9\\-5y=9-14\\-5y=-5$

And finally,

$y=1$

Now substitute value of $y$ in Equation 1:

$x+1=7$

And finally,

$x=6$

The result is:

$x=6\\y=1$