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Elodia [21]
3 years ago
12

2x + y = 7 -x + y = 1

Mathematics
2 answers:
kap26 [50]3 years ago
4 0
2x + y = 7 ---> ( 1st equation )
-x + y = 1  ---> ( 2nd equation)

Let's solve this problem by substitution method
So let's set 2nd equation to y equals
-x + y = 1   ---> ( 2nd equation)
adding x on both sides 
y = 1 + x   ---> (3rd Equation )

Substituting the value of y in equation 1
2x + x + 1 = 7
subtracting 1 from both sides
2x + x = 6
adding like terms on the left side
3x = 6
dividing both sides by 3
x = 2

Substituting the value of x in 2nd equation
-x + y = 1
-2 + y = 1
adding 2 on both sides
y = 1 + 2
y = 3

So, our answer is x = 2
                               y = 3

To check the answer pick any equation and substitute the values of x and y check check if it is equal to Right hand side
2(2) + 3 = 7 ( substituting in 1st equation) 
4 + 3 = 7
7 = 7 

-2 + 3 = 1 ( substituting in 2nd equation)
1 = 1 

Hence proved.

Hope this helps you.  :D
e-lub [12.9K]3 years ago
4 0
2x+y=7
-x+y =1 --> y = 1+x

Substitution y -->
2x+1+x=7;
3x+1=7;
3x=6;
x=2
y=1+2=3

x=2, y=3
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Vinil7 [7]
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10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

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3 0
3 years ago
What should the following rate be divided by to convert it to a unit rate?<br> 6 inches<br> 12 hours
iragen [17]

Answer:

0.5 Inches per hour

Step-by-step explanation:

Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!

This is a fraction equal to

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We want a unit rate where

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so we divide top and bottom by 12

6 inches ÷ 12

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=  

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=  

0.5 inches

hour

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Glad I was able to help!

7 0
3 years ago
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Montano1993 [528]

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Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

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(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

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The correct option is C

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nata0808 [166]
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well, is just(1.5/100) * 5 or 0.075, namely lbs.

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7 0
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LiRa [457]
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8 0
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