Question

2p +12q=1/2and 4p +10q= 13/20 by eliminate​

Answer 1

Answer:

2p + 12q =0.5

4p + 10q =13/20

From Eqn 1

p = 0.5-12q/2

Put this in eqn 2 And Get the required Result..

When U get q from the above put q in any one of the equation to get P.

HOPEE IT HELPS..

Answer 2

Answer:

q = 1/40

p = 1/10

Step-by-step explanation:

Given:

2p + 12q = 1/2

4p + 10q = 13/20

Solve using elimination:

Multiply the first equation by -2, in order to get rid of the p variable.

-2(2p + 12q = 1/2)

-4p - 24q = -1

4p + 10q = 13/20

Solve for q:

-4p - 24q = -1

4p + 10q = 13/20

-14q = -.35

Divide both sides by -14

-.35/-14 = .025

So, q = 1/40

Solve for p:

Input the value of q in either equation to find the value of p.

4p + 10(.025) = 13/20

4p + .25 = 13/20

Subtract .25 from both sides

13/20 - 1/4 = 2/5

4p = 2/5

Divide both sides by 4.

2/5 divided by 4 = 1/10

So, p = 1/10

To confirm:

Input the value of p and q in either equations and if the result is the one shown in the equation, then our work is indeed correct.

q = 1/40

p = 1/10

2(1/10) + 12(1/40) = 1/2