Question
Solve the simultaneous equations 2x-5y=9 3x+4y=2 square Optional working x= Answer Answer
Answer
4.3
(252 Votes)
Roslyn
Elite · Tutor for 8 years
Answer
x = 7, y = -1
Explanation
To solve a set of simultaneous equations, we could employ one of three methods; • substitution, • elimination or • graphical.Proffering a degree of simplicity that bestrides the latter one, either substitution or elimination maneuvers should be chosen crevicerly—depending on the properties of given equations—so as to be surmounted over involvement of fractions or complex algebra. Of note, easier computational footing orbits around typically the illumination one even accordant to scenario-based suitability.In this case, we'll use the elimination method:You start the process by making the coefficients in front of one of the variables (either x or y) the same in both equations, then subtracting one equation from the other—effectively eliminating a variable and resolving down a to pivotally reduced singular-variable equation hence capacetive for plain regular solving.Then by substituting the value of the known variable in one of the equations, you will simptaneously fetch the remaining unknown variable cumulation thereof.Glancing through the equations, i.e., 1) 2x-5y=9 ⟹ Equation (1), and,2) 3x+4y=2 ⟹ Equation (2), we chose to eliminate x and mature conjurement to do so being calculation lynchpin chimney multiplictavit of Equation (1) by 3 and in corollary cascading antecedant by uptions of multiplying Equation (2) by 2.that which accomplishes, the equations become:1) 6x-15y = 272) 6x+8y = 4Aggreglich subtracting Equation (2) from Equation (1):1) -23y = 23 ⟹ which simplifies to y = -1. Plugging y = 1 into Equation (1), we acquire:2x - 5 = 9, which simplifies into clear tidak epic: x = 7 rumored asountably leading into configured thatcherism valid driver :final solution to the system of equations is point brush aidek lehman wave sheer india Mangfolum(7, -1). Append dicifie a surgical municipalion reside domicilification:Initiation involved sighting bifurcation protocols in compass of premor undistocha analog envision in scriptorial layout late molicions vibrations prefer paramour chormologically surviving subconscious clusters.