Solve the following simultaneous equations using Cramer's rule:
y = 2x—19; 2x-3y + 3= 0
Answers
Answer:
6.75 not sure but think so
Step-by-step explanation:
Solution
The given pair of linear equations are :
☆ 2x + y - 19 = 0 .....(i)
☆ 2x - 3y + 3 = 0 ......(ii)
By using elimination method ...
• By subtracting both the eq . , we get ,
2x + y - 19 = 0
2x - 3y + 3 = 0
(-) (-) (-)
_____________
-4y - 22 = 0
-4y = 22
y = 22÷ 4
y = 11/2
By putting the value of y in eq.(i) ....we get ...
2x + y - 19 = 0
= 2x + 11/2 - 19 = 0
= 2x + (11 - 38)÷2 = 0
= 2x - 27/2 = 0
= 2x = 27/2
= x = 27/4
= x = 6.75
Answer:
first write in a simple form
2x-y = 19 ;
2x-3y=-3
we have to find x & y
for x, Dx/D
for y, Dy/D
D = [ 2 -1 ] = 2(3) - (-2) = -4
[ 2 -3 ]
Dx = [19 -1] = -57-3 = -60
[-3 -3]
Dy = [2 19] = -6 -38 = -44
[2 -3]
for x, Dy/D = -60/-4
x = 15
for y, Dy/D = -44/-4
y = 11