How to Simultaneous Equation using substitution method Question: Find the values of x and y in the equations below 3 x + 2 y = 6 5 x − y = 8 Solution Using substitution method 3 x + 2 y = 6 5 x − y = 8 To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation 3 x + 2 y = 6 , 5 x − y = 8 Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign. 3 x + 2 y = 6 Subtract 2 y from both sides of the equation. 3 x = − 2 y + 6 Divide both sides by 3 . x = 3 1 ( − 2 y + 6 ) Multiply 3 1 times − 2 y + 6 . x = − 3 2 y + 2 Substitute − 3 2 y + 2 for x in the other equation, 5 x − y = 8 . 5 ( − 3 2 y + 2 ) − y = 8 Multiply 5 times − 3 2 y + 2 . − 3 1 0 y + 1 0 − y = 8 Add − 3 1 0 y to − y ...
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