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Varvara68 [4.7K]
3 years ago
7

Solve these simultaneous equations 3p + 7q = 56 5p + 7q = 70 P= and q=

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

P = 7 and q = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3p + 7q= 56...(1 )

5p + 7q = 70.... (2)

Using elimination method to solve this

Substract equation 1 from 2 , this becomes:

5p - 3p + 7q-7q = 70-56

5p-3p + 0 = 15

2p = 14

Next step is to divide both 2 to get p

2p/2 = 14/2

P= 7

To get q, input p= 7 into equation 1 which is

3p +7q =56, 3(7) + 7q= 56

21+ 7q = 56, 7q= 56-21

7q= 35( divide both sides by 7)

q = 5.

Since p= 7 and q= 5, let's input values for p and q into both equation.

Equation 1: 3p + 7q= 56

3(7) + 7(5) = 56,

21 + 35 = 56.

For equation 2: 5p + 7q = 70

5(7) + 7(5) = 35 + 35 = 70.

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