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klemol [59]
2 years ago
11

The sum of two numbers is 144 and the difference is 81. what ar the two numbers

Mathematics
1 answer:
kykrilka [37]2 years ago
5 0
The two numbers are 112.5 and 31.5.
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Pls solve the simultaneous equation in the attachment.
siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

\frac{x}{2}-\frac{y}{5}=1 ----> equation A

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Multiply equation A by 10 both sides to remove the fractions

5x-2y=10 ----> equation C

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15x-2x=48+30

Combine like terms

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y=\frac{x}{3}+8

y=\frac{6}{3}+8

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The solution is the ordered pair (6,10)

Part b) we have

xy=21 ---> equation A

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isolate the variable x in the equation B

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substitute equation C in equation A

(22-5y)y=21

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22y-5y^2=21

5y^2-22y+21=0

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

x=22-5(1.4)=15

For y=3

x=22-5(3)=7

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

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Im pretty sure it’s going to be a, because when you divide by the -6 you’re supposed to switch the sign
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Answer:

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