Given system of equations are: $2x+3y–7=0$ $(F+1)x+(2F-1)y–(4F+1)=0$ The above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$ Here,...
Find the value of F for which each of the following system of equations having infinitely many solution: $2x+(F-2)y=F$, $6x+(2F-1)y=2F+5$
The given system of equations is: $2x+(F-2)y–F=0$ $6x+(2F-1)y–(2F+5)=0$ The above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$...
Find the value of F for which each of the following system of equations having infinitely many solution: $Fx+3y=2F+1$, $2(F+1)x+9y=7F+1$
The given system of equations is: $Fx+3y–(2F+1)=0$ $2(F+1)x+9y–(7F+1)=0$ The above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$...
Find the value of F for which each of the following system of equations having infinitely many solution: $a+(F+1)y=4$, $(F+1)a+9y=5F+2$
The given system of equations is: $a+(F+1)y–4=0$ $(F+1)a+9y–(5F+2)=0$ The above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$...
Find the value of F for which each of the following system of equations having infinitely many solution: $2a+3y=2$, $(F+2)a+(2F+1)y=2(F-1)$
Given system of equations is: $2a+3y–2=0$ $(F+2)a+(2F+1)y–2(F-1)=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$...
Find the value of F for which each of the following system of equations having infinitely many solution: $2x–3y=7$, $(F+2)x–(2F+1)y=3(2F-1)$
The given system of equations is: $2x–3y–7=0$ $(F+2)x–(2F+1)y–3(2F-1)=0$ The above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$...
Find the value of F for which each of the following system of equations having infinitely many solution: $8a+5y=9$, $Fa+10y=18$
Given equations are: $8a+5y–9=0$ $Fa+10y–18=0$ The above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$ Now, ${{a}_{1}}=8,{{b}_{1}}=5,{{c}_{1}}=-9$...
Find the value of F for which each of the following system of equations having infinitely many solution $Fa–2y+6=0$, $4a–3y+9=0$
Given equations are: $Fa–2y+6=0$ $4a–3y+9=0$ The above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$ Now,${{a}_{1}}=F,{{b}_{2}}=-2,{{c}_{2}}=9$...
Find the value of F for which each of the following system of equations having infinitely many solution $4a+5y=3$, $ka+15y=9$
The Given equations are: $4a+5y–3=0$ $ka+15y–9=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$ Here, ${{a}_{1}}=4,{{b}_{1}}=5,{{c}_{1}}=-3$...
Find the value of F for which each of the following system of equations having infinitely many solution$2a+3y–5=0$, $6a+Fy–15=0$
The Given equations are: $2a+3y-5=0$ $6a+Fy-15=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}y-{{c}_{2}}=0$ Now, ${{a}_{1}}=2,{{b}_{1}}=3,{{c}_{1}}=-5$...
Find out the value of a for which the following equations has a unique solution$a+2b=3$, $5a+kb+7=0$
Given equations are: $a+2b–3=0$ $5a+kb+7=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}b-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}b-{{c}_{2}}=0$ Now, ${{a}_{1}}=1,{{b}_{1}}=2,{{c}_{1}}=-3$...
Find out the value of a for which the following equations has a unique solution$4a–5b=k$, $2a–3b=12$
Given equations are: $4a–5b–k=0$ $2a–3b–12=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}b-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}b-{{c}_{2}}=0$ Now, ${{a}_{1}}=4,{{b}_{1}}=5,{{c}_{1}}=-k$...
Find out the value of a for which the following equations has a unique solution$4a+kb+8=0$, $2a+2b+2=0$
Given equations are: $4a+kb+8=0$ $2a+2b+2=0$ Above equations are of the form ${{a}_{1}}a+{{b}_{1}}b-{{c}_{1}}=0$ ${{a}_{2}}a+{{b}_{2}}b-{{c}_{2}}=0$ Now, ${{a}_{1}}=4,{{b}_{1}}=k,{{c}_{1}}=8$...
Find out the value of a for which the following equations has a unique solution $ax+2y=5$, $3x+y=1$
Given equations are: $ax+2y–5=0$ $3x+y–1=0$ Above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$ Now, ${{a}_{1}}=k,{{b}_{1}}=2,{{c}_{1}}=-5$...
In all the following systems of equations determine whether the system has a unique solution, no solution or infinite solutions. If In case there is a unique solution $x–2y=8$, $5x–10y=10$
Given system of equations are: $x–2y–8=0$ $5x–10y–10=0$ Above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$...
In all the following systems of equations determine whether the system has a unique solution, no solution or infinite solutions. If In case there is a unique solution$3x–5y=20$ ,$6x–10y=40$
Given system of equations is: $3x–5y–20=0$ $6x–10y–40=0$ Above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$...
In all the following systems of equations determine whether the system has a unique solution, no solution or infinite solutions. If In case there is a unique solution $2x + y = 5$, $4x + 2y = 10$
Given system of equations are: $2x + y – 5 = 0$ $4x + 2y – 10 = 0$ Above equations are of the form ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$ Therefore,...
In all the following systems of equations determine whether the system has a unique solution, no solution or infinite solutions. If In case there is a unique solution$x-3y-3=0$, $3x-9y-2=0$
Given system of equations is: $x-3y-3=0$ $3x-9y-2=0$ Above equations are in the form of ${{a}_{1}}x+{{b}_{1}}y-{{c}_{1}}=0$ ${{a}_{2}}x+{{b}_{2}}y-{{c}_{2}}=0$ Here,...