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zmey [24]
3 years ago
15

-2x + 6y = 6 -7x + 8y = -5

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

x=-2\\y=2

Step-by-step explanation:

-2x+6y=6\\-7x+8y=-5

Let's multiply the first equation by 7 and the second equation by -2

(7)(-2x+6y=6)\\(-2)(-7x+8y=-5)

-14x+42y=42\\14x-16y=10

Now add them together. In this step, x is eliminated.

26y=52

Divide by 26.

y=\frac{52}{26}\\ y=2

Now plug this into any of the two equations to find x.

-2x+6y=6\\-2x+6(2)=6\\-2x+12=16\\-2x=16-12\\-2x=4\\x=\frac{4}{-2}\\ x=-2

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Answer:

6

Step-by-step explanation:

We need to find the slope

We have 2 points

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m = (y2-y1)/(x2-x1)

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   = 6/1

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The constant of proportionality is 6

6 0
3 years ago
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What is the solution for the equation?<br> a+8/3=2/3
Readme [11.4K]
A+8/3 = 2/3
Or, (3a+8)/3 = 2/3 [taking LCM]
Or, 3a+8 = 2 [3 in both denominators are cancelled]
Or, 3a = 2-8
Or, a = -6/3
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3 0
3 years ago
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
Yuliya22 [10]
<span>–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 </span>≤ -2 -2x

>>  -12 +2 ≤ +2x 

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5 

This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity
3 0
3 years ago
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Find two matrices A and B such that 2A-3B= [5 0
amm1812

The easy answer: If, say, B is the zero matrix, i.e.

B=\begin{bmatrix}0&0\\0&0\end{bmatrix}

then

2A=\begin{bmatrix}5&0\\-1&2\end{bmatrix}\implies A=\begin{bmatrix}\dfrac52&0\\\\-\dfrac12&1\end{bmatrix}

3 0
3 years ago
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​
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Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

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