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Nonamiya [84]
3 years ago
6

Graph -7x+5y=35 PLEASE HELP QUICK

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

Step-by-step explanation:

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A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
yes was walking along the road at 5 mph and was 17 miles away from his destination. no was walking at 7 mph but was 22 miles awa
yarga [219]
17 miles / 5 mph = 3.4 hours

22miles / 7 mph = 3.14 hours

No would arrive before yes
7 0
3 years ago
Distance between (2,7) and (-1,3)
kotykmax [81]

Answer:

along the x it moved 3 and along the y it went 4

7 0
2 years ago
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The temperature in several cities in Canada are shown in the table to the right. The average temperature can be found in the sum
aliina [53]

Answer:

The one you selected is right

Step-by-step explanation:

8 0
3 years ago
Please help me please
MissTica

Answer:

not all of them are proportional because they do not all equal the same.

Step-by-step explanation:

6 0
2 years ago
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