If 4x + 3y = 4 and x + 2y = 2 what are the values of x and y ?
First you need to make either the x value or the y value equal by multiplying each equation by a number.
2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals:
Equation 1: ( 8x + 6y = 8 ) and Equation 2: ( 3x + 6y = 6 )
Next you need to get the x value on its own, this is done by subtracting Equation 2 from Equation 1 to cancel out the y values.
( 8x + 6y = 8 ) – ( 3x + 6y = 6) = ( 5x = 2 )
To get the value of x divide both sides of the equation by 5:
X = 2/5
Sub the value of x back into one of the original equations to get the value of y.
2/5 + 2y = 2
2y = 8/5
Y = 4/5 and x = 2/5
MT
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