SOLUTION: Using the Substitution Method, solve the system
2x + 3y = -4
x - 2y = 5
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Question 190104: Using the Substitution Method, solve the system
2x + 3y = -4
x - 2y = 5
Answer by cutepiscean5(19) (Show Source): You can put this solution on YOUR website!
we have the given equations as :
........ (1)
............(2)
from equation (2) we extract x in terms of y and we get:
Now, add 2y to both sides of the equation, such that 2y on the left hand side cancels out.
=>
=> ............(3)
substitute , this value of x into the first equation (1) . we get:
=> (use distributive law to open the brackets)
=> (now, combine the like terms)
=> (Subtract 10 from both sides)
=>
=>
=>
=>
now plug in this value of y, into the equation (3) to get the value of x,
=>
=>
=>
=>
Checking plug in values of x and y in both equations and verify:
In Equation (1)
=>
=>
=> , which is true.
In Equation (2)
=>
=>
=>
=> , which is again true,
Hence our answers are correct !
Hope this helps.
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