Question

x-3y=10 and 2x+3y=-7 solve using substitution method​

Answer 1

Step-by-step explanation:

x-3y=10 multiply it by 2

2x-6y=20

By substitution method

2x-6y=20

2x+3y=-7

- - +

-9y = 27

y = -3

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Answer 2

Answer:

$x=1$ , $y=-3$

Step-by-step explanation:

In substitution method, you should first solve for one variable (like or ).

And after that, Substitute that expression into the other equation.

Let's solve for in the first equation.

1. $x-3y=10$, add both sides $+3y$ .
2. It will be $x=3y+10$.

Now we are going to substitute this expression into the second equation.

1. $2x+3y=-7$, Here we replace $3y+10$ instead of $x$.
2. $2(3y+10)+3y=-7$, Now we simplify this.
3. $9y+20=-7$.
4. From here we find $y$. $y=-3$.

And now we substitute $y$ into the first equation and solve for $x$.

1. $x-3y=10$, Here we replace $-3$ instead of $y$.
2. $x-3(-3)=10$, Now we simplify this.
3. $x+9=10$.
4. From here we find $x$. $x=1$

Hope it helps you.

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