Solving Simultaneous Equations

Feb 3rd, 2012
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This study guide consists of ten sets of simultaneous equations (also known as systems of equations). All three types of simultaneous equations are dealt with: (1) those having a unique solution (consistent) (2) consistent but with an infinite number of solutions (3) inconsistent and having no solution. The solutions are carefully set out and are easy to follow.

Word Count: 815
Showing Page: 1/7
Solving Systems of Equations (Simultaneous Equations)Solve the following systems of Equations:Q1) -2x + 3y = 8 (1) 3x - y = -5 (2)Q2) 4x - y = 8 (1) -8x + 2y = -5 (2)Q3) 5x + y = 13 (1) 3x = 15 - 3y (2)Q 4) 2x + 4y = 36 (1) 10y = 5 (2)Q 5) 2x - 4y = 12 (1) 3x - 6y = 21 (2)Q6) 2x - 9y = 32 (1) 4x + y = -12 (2)Q7) y = 3x + 1 (1) 4y = 12x + 4 (2) Q8) -x + 2y = -4 (1) 2x - 3y = 8 (2) Q9) 2x - 5y = -3 (1) -x +2y = 3 (2)Q10) 3x + 4y = 8 (1) -2x + 5y = 3 (2) Solutions on next pageQ1) -2x + 3y = 8 (1) 3x - y = -5 (2)Multiply Equation (2) by 3: 9x -3y = -15 (3)Adding (1) and (3) gives 7x = -7 x = -7/7 = -1From equation (1) substituting for x -3 -y = -5 -y = -5 +3 -y = -2

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