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Margaret [11]
3 years ago
7

Complete the solution of the equation. Find the value of y when x equals 15.

Mathematics
2 answers:
NikAS [45]3 years ago
5 0
<span>3x ‒ 8y = 5

substitute with x=15

3(15) - 8y = 5
45 - 8y = 5
-8y = -40
 y= 5

</span>

I hope that helps!



GuDViN [60]3 years ago
4 0
So first, we want to substitute in 15 to all the x variables.

So,

3x - 8y = 5

Becomes

3 * 15 - 8y = 5

Or, 

45 - 8y = 5

So here, you can subtract 45 from both sides to move all like terms to one side.

-8y = 5 - 45

And then simplify:

-8y = -40

Then divide both sides by -8

y = 5
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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Luba_88 [7]

Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25

L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5

F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

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3 years ago
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Answer: Hello mate!

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them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:

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we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.

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now if s = 4 and b = 6, the score that he should expect is:

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4. cobine like terms

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