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3 years ago

5x+6y=13;-5x+2y=11. how do I solve this

1 answer:

8 0

You solve for X in one equation and plug it into the other. So...

5x+6Y=13 
5x=13-6Y 
x=(13-6Y)/5 

Then, you replace X in the other equation... 

-5x+2y=11 
-5[(13-6y)/5]+2y=11 
-13+6y+2y=11 
8y=11+13 
8y=24 
y=3 

Now that you have Y, you just solve for x using either equations... 

5x+6(3)=13 
5x=13-18 
5x=-5 
x=-1 

Therefore, X = -1 & Y = 3

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Solve for f: 6f + 9g = 3g + f

andrezito [222]

Answer:

f= -(6/5)g

Explanation:

We have been given the expression 6f+9g = 3g+f

Solve for f means find the value of f

We will simplify the given expression:

we will collect the values of f at one side and g on the other side

So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g

So, after simplification it will lead to 5f= -6g

After further simplification f= -(6/5)g which is the final result

3 0

3 years ago

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Which expressions are equivalent when m = 1 and m = 4?

s344n2d4d5 [400]

Answer:

expression 2

Step-by-step explanation:

<h2>Which expressions are equivalent when m = 1 and m = 4?</h2>

<h3>first expression:</h3>

5m -3 and 2m + 5 + m

when m = 1

5(1) - 3 = 2 and 2(1) + 5 + 1 = 8

and m = 4

5(4) -3 =23 and 2(4) + 5 + 4 = 17

expression 1 IS NOT EQUIVALENT

<h3>second expression :</h3>

3 m + 4 and m + 4 + 2 m

when m = 1

3 (1) + 4 = 7 and 1 + 4 +2 (1) = 7

and m = 4

3 (4) + 4 = 16 and 4 + 4 +2 (4) = 16

expression 2 IS EQUIVALENT

<h3>third expression :</h3>

2 m + 7 and 3 m - 3 + m

when m = 1

2(1) + 7 = 9 and 3(1) -3 + 1 = 1

and m = 4

2(4) + 7 = 15 and 3(4) -3 + 4 = 13

expression 3 IS NOT EQUIVALENT

<h3>fourth expression :</h3>

5 m + 3 and 4 m + 2 + 2 m

when m = 1

5(1)+ 3 = 8 and 4(1) + 2 +2(1) = 8

and m = 4

5(4)+ 3 = 23 and 4(4) + 2 +2(4) = 26

expression 4 is NOT EQUIVALENT

the expression that is EXPRESSION 2

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3 years ago

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Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

Karolina [17]

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

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3 years ago

Explain how to find the mean of a data set

aleksandrvk [35]

To find the mean, aka average, we must add all the values of the table, then divide that sum by the number of values

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18) 46° 47° ? A) 89° C) 159° B) 87° D) 97°

kvv77 [185]

Answer:

89 159 87 23=165237890

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3 years ago