Question

Solve the simultaneous equation
2p-3q=4
3p+2q=9

Answer 1

Answer:

q=6/13 and p=35/13

Step-by-step explanation:

SOLUTION:

2p-3q=4...equation 1

3p+2q=9...equation 2

Using elimination method multiply equation 1 by the coefficient of any one of the variables in equation 2. And multiply equation 2 by the coefficient of the same variable as used before found in equation 1.

3x2p-3x3q=3x4

2×3p+2×2q=2x9

6p-9q=12...equation 3

6p+4q=18...equation 4

Subtract equation 3 from equation 4

6p-6p+4q-(-9q)=18-12

0+4q+9q=6

13q=6

q=6/13

Substitute q=6/13 into equation 3

6p-9(6/13)=12

6p-54/13=12

6p=12+54/13

6p=156+54/13

6p=210/13

p=(210/13)/6

p=(210/13)x1/6

p=210/78

p=35/13