SOLUTION: I can't get the answer to the following problem ;
y-5x=-2
3x-7y=22
The instructions say to use the substitution method.
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Question 734890: I can't get the answer to the following problem ;
y-5x=-2
3x-7y=22
The instructions say to use the substitution method.
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
y-5x=-2 --> y = 5x - 2
3x-7y=22
----------
Sub for y in the 2nd equation.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Substitution means that your first step is solving for one variable in one of the equations. For example
-->
Note: Look for a variable that has no visible coefficient. In this case, the coefficient of in is an invisible number 1.
The second step when using substitution is to substitute the expression found for the variable in the other equation.
In this case, since we found that , we write (5x-2) instead of in to get
No we use the distributive property to transform that into
and simplify to and
Then we solve
--> --> -->
As a final step, we substitute for somewhere to find .
It may be easiest to use . Substituting we get
--> --> -->
NOTE: If you cannot find a variable with no visible coefficient, substitution will get cumbersome, as you would be working with fractions a lot. In that case, it is better to use a different method.
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