using the substitution method find the solution to each system of equation...

1.

2x+3y=7

6x-y=1

idk if i got it right but i got y=2.5 and x=1/4 it seems wrong though...

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- Nov 16th 2006, 05:51 AMmathnoobie25Substitution equation Problem
using the substitution method find the solution to each system of equation...

1.

2x+3y=7

6x-y=1

idk if i got it right but i got y=2.5 and x=1/4 it seems wrong though... - Nov 16th 2006, 06:39 AMSoroban
Hello, mathnoobie25!

Quote:

Using the substitution method, solve:

idk if i got it right but i got y=2.5 and x=1/4 it seems wrong though.

. . Don't you know how to**check**your answers?

Solve one of the equations for one of its variables.

. . (Try to choose the easiest one.)*****

Solve equation**(2)**for**(3)**

Substitute into**(1)**: .

Solve for

Substitute into**(3)**: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

**Check**

Substitute your answers into the original equations

. . and see if you get__true__statements.

Substitute into**(1)**.

. . . . . Is this true?

We have: . . . .*Yes!*

Substitute into**(2)**.

. . . . . Is this true?

We have: . . . .*Yes!*

Therefore, our answers are correct.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

*****

We could, say, solve**(1)**for

. . But why introduce*fractions*when we can avoid them?