Answer:
Explanation:
Given system of equation to us is ,
3a + 2c = 38.65
1a + 2c = 22.75
Here the given system of equation are linear equations in two variables. We can use various methods to solve them like substitution method, elimination method, etc . Here i will make use of elimination method. For that ;
Subtract both the equations , that would result to ;
3a + 2c - ( 1a + 2c ) = 38.65 - 22.75
3a + 2c - 1a - 2c = 15.9
2a = 15.9
a = 15.9/2
a = 7.95
To find out the value of c , plug in a = 7.95 in any of the two equations, as ;
a + 2c = 22.75
2c = 22.75 - 7.95
2c = 14.8
c = 14.8/2
c = 7.4
Hence the value of a is 7.95 and that of c is 7.4 .