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Question 250068: Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
y = x + 2
3x + 2y = 9
Answer by actuary(112)   (Show Source):
You can put this solution on YOUR website! Substitute the "value" for y from the first equation into the second equation.
The second equation then becomes 3x+2(x+2)=9
ASp;ve the after using the DISTRIBUTIVE PROPERTY, the second equation becomes 3x+2x+4=9
Solve 3x+2x+4=9 for x
Subtract 4 from each side of the equation
The equation is now 3x+2x=5
Combine like terms so 5x=5
Divide each side of the equation by 5 so x = 1
To solve the system of equations for the other variable "y", replace "x" with 1 in he first equation, so y = 1 + 2 = 3.
So, x = 1 and y = 3.
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