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Practice each pair of the equation problems from the worksheet on simultaneous linear equations with the two variables and two linear equations. Solving simultaneous linear equations with two variables by using the method of substitution to solve each pair of the equations and also solve the equations by using the method of elimination.1. Use the method of substitution to solve each other of the pair of simultaneous equations: (a) x + y = 15 x - y = 3 (b) x + y = 0 x - y = 2 (c) 2x - y = 3 4x + y = 3 (d) 2x - 9y = 9 5x + 2y = 27 (e) x + 4y = -4 3y - 5x = -1 (f) 2x - 3y = 2 x + 2y = 8 (g) x + y = 7 2x - 3y = 9 (h) 11y + 15x = -23 7y - 2x = 20 (i) 5x - 6y = 2 6x - 5y = 9 2. Solve each other pair of equation given below using elimination method: (a) x + 2y = -4 3x - 5y = -1 (b) 4x + 9y = 5 -5x + 3y = 8 (c) 9x - 6y = 12 4x + 6y = 14 (d) 2y - (3x) = 12 5y + (7x) = 1 (e) (3x) + (2y) = (9xy) (9x) + (4y) = (21xy) (f) (4y) + (3x) = 8 (6y) + (5x) = 13 (g) 5x + (4y) = 7 4x + (3y) = 5 (h) x + y = 3 -3x + 2y = 1 (i) -3x + 2y = 5 4x + 5y = 23. Solve the following simultaneous equations: (a) 3a + 4b = 43 -2a + 3b = 11 (b) 4x - 3y = 23 3x + 4y = 11 (c) 5x + (4y) = 7 4x + (3y) = 5 (d) 4(p - 3) + 6(q - 4) = 5 5(p - 3) - 3(q - 4) = 1 (e) (l6) - (m15) = 4 (l3) - (m12) = 194 (f) 3x + 2y = 8 4x + y = 9 (g) x - y = -1 2y + 3x = 12 (h) (3y2) - (5x3) = -2 (y3) + (x3) = 136 (i) x - y = 3 (x3) + (y2) = 6 (j) (2x3) + (y2) = -1 (-x3) + y = 3 (k) 5x + 8y = 9 2x + 3y = 4 (l) 3 - 2(3a - 4b) = -59 (a - 3)4 - (b - 4)5 = 2¹₁₀ Answers for the worksheet on simultaneous linear equations are given below to check the exact answers of the above questions on system of linear equations.Answers:1. (a) x = 9, y = 6(b) x = 1, y = -1 (c) x = 1, y = -1 (d) x = 26149, y = 949(e) x = -823, y = -2123 (f) x = 4, y = 2 (g) x = 6, y = 1 (h) x = -3, y = 2(i) x = 4, y = 3 2. (a) x = -2, y = -1(b) x = -1, y = 1(c) x = 2, y = 1(d) x = -12, y = 3(e) x = 3, y = 1 (f) x = 12, y = 2 (g) x = -1, y = 13(h) x = 1, y = 2 (i) x = -2123, y = 2623 3. (a) a = 5, b = 7 (b) x = 5, y = -1(c) x = -1, y = 13(d) p = 5, q = 6 (e) l = -2, m = -65(f) x = 2, y = 1(g) x = 2, y = 3 (h) x = 14138, y = 5319 (i) x = 9, y = 6(j) x = -3, y = 2(k) x = 5, y = -2 (l) a = 5, b = -4 ● Simultaneous Linear EquationsSimultaneous Linear EquationsComparison MethodElimination MethodSubstitution MethodCross-Multiplication MethodSolvability of Linear Simultaneous EquationsPairs of EquationsWord Problems on Simultaneous Linear EquationsWord Problems on Simultaneous Linear EquationsPractice Test on Word Problems Involving Simultaneous Linear Equations● Simultaneous Linear Equations - WorksheetsWorksheet on Simultaneous Linear EquationsWorksheet on Problems on Simultaneous Linear Equations8th Grade Math PracticeFrom Worksheet on Simultaneous Linear Equations to HOME PAGE Didnt find what you were looking for? Or want to know more informationabout Math Only Math.Use this Google Search to find what you need. Share this page:Whats this? Walk through our printable solving systems of equations worksheets to learn the ins and outs of solving a set of linear equations. Ensure students are thoroughly informed of the methods of elimination, substitution, matrix, cross-multiplication, Cramers Rule, and graphing that are crucial for arriving at the solutions. Reaffirm skills in graphing the equation of a line as a prerequisite to solve the pairs of simultaneous equations by graphing them. This array of free pdf worksheets is meticulously designed for 8th grade and high school students.CCSS: HSA-REI.6 Mathworksheetsgo.com is now a part of Mathwarehouse.com. All of your worksheets are now here on Mathwarehouse.com. Please update your bookmarks! In this worksheet, we will practice solving systems of linear equations using elimination or substitution. Q1: Using elimination, solve the simultaneous equations 3𝑥+2𝑦=14,6𝑥−2𝑦=22. A𝑥=2, 𝑦=1 B𝑥=−4, 𝑦=−1 C𝑥=12, 𝑦=−25 D𝑥=4, 𝑦=2 E𝑥=4, 𝑦=1 Q2: Use the elimination method to solve the simultaneous equations 𝑥−2𝑦=−2,2𝑥+3𝑦=10. A𝑥=1 and 𝑦=−1 B𝑥=−16 and 𝑦=−14 C𝑥=1 and 𝑦=1 D𝑥=−14 and 𝑦=−16 E𝑥=2 and 𝑦=2 Q3: Use the omission method to solve the simultaneous equations 4𝑥−2𝑦=4,5𝑥+3𝑦=16. A𝑥=12 and 𝑦=22 B𝑥=3 and 𝑦=4 C𝑥=2 and 𝑦=2 D𝑥=4 and 𝑦=4 E𝑥=10 and 𝑦=18 Q4: Solve the simultaneous equations 𝑦+4𝑥=−8 and 𝑦=5𝑥+10. A𝑥=−2, 𝑦=−20 B𝑥=8, 𝑦=−2 C𝑥=−2, 𝑦=0 D𝑥=0, 𝑦=−2 E𝑥=−2, 𝑦=8 Q5: Solve the following system of equations: 5𝑥−2𝑦=8,4𝑥+3𝑦=11. A𝑥=2, 𝑦=−1 B𝑥=1, 𝑦=2 C𝑥=2, 𝑦=1 D𝑥=−2, 𝑦=−1 Q6: Find the number of solutions to the following system of equations: 𝑦+2𝑥=4,2𝑦+4𝑥=8. AInfinite solutions B1 solution C0 solutions Q7: Solve the following system of equations if possible: 𝑦=𝑥+1,𝑦=𝑥−9. AThere are no solutions. B𝑥=−9, 𝑦=1 C𝑥=9, 𝑦=1 D𝑥=1, 𝑦=9 E𝑥=−1, 𝑦=−9 Q8: Solve the system of equations 2𝑥+2𝑦+3=0,4(𝑥−2𝑦)=2(4+𝑦). A𝑥=−32, 𝑦=−2 B𝑥=−32, 𝑦=−1 C𝑥=−2, 𝑦=−32 D𝑥=−12, 𝑦=−1 E𝑥=−1, 𝑦=−12 Q9: Consider the system of equations 𝑎𝑥+2𝑦=10,4𝑎𝑥+10𝑦=52,where 𝑎 is a constant. Using your answer to the question above and given that 𝑥=2, find the value of 𝑎. Q10: Consider the simultaneous equations 𝑎𝑥+𝑏𝑦=12,𝑥−2𝑏𝑦=−10,where 𝑎 and 𝑏 are constants.Given that 𝑥=2, 𝑦=3 is a solution to this pair of simultaneous equations, find the values of 𝑎 and 𝑏. A𝑎=3, 𝑏=2 B𝑎=4, 𝑏=3 C𝑎=2, 𝑏=3 D𝑎=2, 𝑏=5 E𝑎=4, 𝑏=5
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