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Kamila [148]
3 years ago
11

Urgent please help quick!!!

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

x=-1\\y=-1

Step-by-step explanation:

5x+5y=-10\\3x-7y=4

Let's solve the first equation for either x or y. I'll do it for x.

5x+5y=-10

Begin by subtracting 5y.

5x=-5y-10

Now divide by 5.

x=\frac{-5y}{5}-\frac{10}{5}

Simplify:

x=-y-2

Now substitute x in the second equation for this value.

3x-7y=4\\3(-y-2)-7y=4

Distribute;

-3y-6-7y=4

Add 6

-3y-7y=4+6

Combine like terms;

-10y=10

Divide by -10.

y=\frac{10}{-10}\\ y=-1

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1

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A) x + y = 110
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B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
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Step-by-step explanation:

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