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baherus [9]
3 years ago
15

Simultaneous Equations - 5p-2q=9 3p+2q=7

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

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Answers with explanations
Snezhnost [94]

To answer this question, try to solve the system of equations.  Start by plugging in "x^{2} +3x-7" in for y in the second equation:

x^{2} +3x-7-5x+8=0

<em>*Combine like terms*</em>

x^{2} -2x+1=0

<em>*Factor*</em>

(x-1)(x-1)=0

<em>*Set each term equal to 0*</em>

x-1=0

<em>*Add 1 to both sides*</em>

x=1


C) There is exactly 1 solution.


Hope this helps!!

7 0
4 years ago
The sum of 5 consecutive even numbers is 310. What is the third number in this sequence?
bija089 [108]
A simple way to solve for consecutive numbers is to divide the sum number by the number of numbers needed. So 310 ÷ 5, which equals 62. That is the middle consecutive number.

To find the other 4 numbers, since they are all even, sinply add 2 to the middle number to find one, add 2 to that to find another, subtract 2 from the middle number to fine the third, and subtract 2 from that to find the final one.

62 + 2 = 64
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62 - 2 = 60
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so your numbers are 58, 60, 62, 52, and 66. Together they add up to 310.

(I may have done this a non-standard way, bit it was the way that made the most sense in my head.)


3 0
3 years ago
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