What is the value of u in the following system of linear equations?
4u + 3v = –1
3u + 2v = 1
a) 5
b)-11/2
C)-7
d)19/3
1st times 2
8u + 6v = -2
2nd by 3
9u + 6v= 3
subtract them
u = 5
how do you subtract this?
To find the value of u in the given system of linear equations, we can solve the system using substitution or elimination method.
Let's solve it using the elimination method:
Step 1: Multiply the first equation by 2 and the second equation by 3 to make the coefficients of v the same:
(1) 8u + 6v = -2
(2) 9u + 6v = 3
Step 2: Subtract equation (1) from equation (2) to eliminate the variable v:
(2) - (1) => (9u + 6v) - (8u + 6v) = 3 - (-2)
=> 9u + 6v - 8u - 6v = 3 + 2
=> (9u - 8u) + (6v - 6v) = 5
=> u + 0 = 5
=> u = 5
Hence, the value of u in the given system of linear equations is 5.
Therefore, the correct answer is (a) 5.