What is the value of a, b and c?a+b+c+2=02a-b+c+5=03a+2b+c+13=0
Mathematics · High School · Tue Nov 03 2020
Answered on
For finding the value of a, b, and c we use the substitution method equations are
a+b+c+2=0. ………(1)
2a-b+c+5=0……..(2)
3a+2b+c+13=0……….(3)
We first add the equation (1)and (2)
a+b+c+2+2a-b+c+5=0
3a+2c+7=0…….(4)
By adding the equation 2*(2)and (3).
4a-2b+2c+10+7a+2b+c+13=0
7a+3c+23=0…..(5)
By adding the equations 3*(4)and 2 *(5).
12a+6c+28-14a-6c-46=0
-2a-18=0
a=-9……(A)
Putting the value of equation (A) into equation(4)
3*(-9)+2c+7=0
-27+2c+7=0
2c=20
c=10……(B)
Putting the value of equations (A) and (B) into equation(1)
-9+b+10+2=0
b+3=0
b=-3….(C)
a b, c values respectively are -9,10,-3.