SOLUTION: x+y=6 x+4y=3 using the substitution method.
2x-y=7 x+2y=1 using the addition method.
Thanks!
Algebra.Com
Question 841202: x+y=6 x+4y=3 using the substitution method.
2x-y=7 x+2y=1 using the addition method.
Thanks!
Answer by mxgirl22(39) (Show Source): You can put this solution on YOUR website!
Problem #1.
Solve using the substitution method.
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1.) I'm going to label each equation in order to reference back to them.
Equation 1.)
Equation 2.)
---------------------------------
2.) Using equation #1 get "x" by itself.
Equation 1.)
---------------------------------
3.) Now that you have "x" by itself, plug in for equation 2. Solve for "y".
---------------------------------
4.) Now that you solved for "y", plug in in to equation 1.
Solve for "x".
---------------------------------
5.) Check and for either equation 1 or equation 2.
Equation 2.)
Checks!
---------------------------------
6.) Answer.
and
for Problem #1
--------------------------------------------------------------------------------
Problem #2.
Solve using the addition method.
---------------------------------
1.) I'm going to label each equation in order to reference back to them.
Equation 1.)
Equation 2.)
---------------------------------
2.) Both look easy to manipulate, but, if we use equation 2 we will have smaller numbers.
Equation 1.)
Equation 2.)
**First I'm going to get rid of the "x".
Equation 2.)
<-----Your "new" equation. I'll name it equation 3.
---------------------------------
3.) Using equation 1 & equation 3 combine.
Equation 1.)
Equation 3.)
***Notice: "2x" will be gone.
***** The "y" will now be -5y
******* And
******** The equation will now be <---I'm calling this equation 4.
--------------------------------------------------
4.) Solve for "y" using equation 4.
--------------------------------------------------
5.) Using either equation 1 or equation 2, plug in to solve for "x".
Equation 1.)
--------------------------------------------------
6.) Check and for either equation 1 or equation 2.
Equation 2.)
Checks!
--------------------------------------------------
7.) Answer.
and
For Problem #2
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