Question

What is the I-value of the solution of the system of equatIons x + 3y = 13 and 3x - y = –11?

Answer 1

Answer:x=1,y=

Step-by-step explanation:Here's one of many ways of solving this system. Since we are already told that

x

=

y

−

3

from the first equation, just plug in

y

−

3

everywhere you see an

x

in the second equation.

So the second equation becomes

(

y

−

3

)

+

3

y

=

13

. Solve this for

y

to get

y

=

4

.

Then, go back to the first equation that says

x

=

y

−

3

and plug in

y

=

4

. So

x

=

1

.

Check your work by plugging in the values.

1

=

4

−

3

and

1

+

3

(

4

)

=

13

, so we are right.