SOLUTION: Solve this system using the Substitution Method: x + y = 7/2 4x - 3y = -14

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Question 190108: Solve this system using the Substitution Method:
x + y = 7/2
4x - 3y = -14



Answer by cutepiscean5(19)   (Show Source): You can put this solution on YOUR website!
Substitution method---

From the first equation take out one variable in terms of the other and substitute it in the other equation.
we have:

=>
Now, substitute this value of x, into equation 2.

=> (Now, use distributive law to open the brackets)
=>
=> (Next, bring -14 to the Left hand side by adding both sides by 14 and bring -7y to the Right hand side by adding both sides by 7y)
=> (Next, Re-arrange the equation)
=>
=>
=>
=>
plug back this value of y into the value of x to obtain x.
=>
=>
=>
hope this helps.

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