(IGCSE & GCSE) Additional Math Simultaneous Equations

Explore a crash course on simultaneous equations aligned with the IGCSE syllabus, emphasizing practice, interactive solving prompts, and worldwide accessibility for students and parents.

Explore simultaneous linear equations with two unknowns x and y, using substitution and elimination on equations like 2x+3y=7 and 3x-4y=2.

Solve simultaneous linear equations using substitution and elimination to find x and y, as shown in practice question #1 with 2x+y=5 and x+2y=7.

practice question #2 guides solving two simultaneous equations using substitution and elimination, showing how to isolate y, substitute, and find x = -1 and y = 4.

Practice question three guides students through solving simultaneous linear equations using substitution and elimination, confirming x = 3 and y = -2 from two equations.

Practice question #4 guides you through solving simultaneous equations by substituting X=2 and Y=3 into AX+BY=1 and AY-BX=8, then using elimination before substitution to find A=2 and B=-1.

Practice question five guides solving a pair of linear simultaneous equations by substituting x with p and y with 3 to find p and q, yielding p=0 and q=-2/3.

Substitute the linear equation into the nonlinear one, factor to find y (y = 1 or 3), then determine x as 0 or -1.

Explore non linear equations with fractions through practice question #1, using substitution from a linear equation, combining fractions by multiplying denominators, factorization, and solving for x and y.

solve a nonlinear and a linear equation in a system by substitution and factoring. obtain x one or four, with y two or minus four.

Solve nonlinear simultaneous equations by substituting y from the linear equation into the second equation, factorizing the resulting quadratic to find x = -1, then compute y = 3.

Solve a nonlinear system by substitution: from 3x+y=1 and x^2+y^2=5, substitute y=1-3x to obtain 5x^2-3x-2=0, yielding x=1 or x=-2/5 with y=2 or y=11/5.

Practice solving nonlinear equations by substitution. Solve 3s^2+2t^2=11 with s=(1-2t)/3, factor 5t^2-2t-16=0, get t=-8/5 or 2, then s=7/5 or -1.

Practice question six solves a linear and a nonlinear equation system by substitution, yielding y=2 or y=3 with corresponding x=3 or x=2.

Practice solves a nonlinear simultaneous equation by substituting x in terms of y, factoring the resulting quadratic to reveal y = -1 or -3, and then find x.

Solve nonlinear simultaneous equations by substitution and cross multiplication, using factoring to handle a quadratic in x, and find x values -1 and -3/2 with y values 2/3 and 1/2.

Conclude your simultaneous equations journey with reflective practice, solving questions, and leaving a review, and prepare for the matrices course in ad math following the same GCSE syllabus.