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Sphinxa [80]
3 years ago
11

How do i solve 2x-y = -1 and 3x + y = 6 using substitution?

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y

2x - y = -1

2x = y - 1

2x + 1 = y

Now we can substitute 2x + 1 for y in the other equation

3x + 2x + 1 = 6

5x = 5

x = 1

now that we have x, we can get y

2(1) - y = -1

2 - y = -1

2 = y - 1

3 = y

So x = 1 and y = 3

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Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)
bulgar [2K]
So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1



6 0
3 years ago
Plz help i need this answer to pass
zysi [14]

Answer:

The equation in slope-intercept form of required line is: \mathbf{y=\frac{2}{3}(x)-6}

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the line on the  graph.

The general equation in slope-intercept form is: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula: Slope=\frac{y_2-y_1}{x_2-x_1}\\

Looking at he graph we have

x_1=3, y_1=-4, x_2=6, y_2=-2

Putting values in formula and finding slope:

Slope=\frac{-2-(-4)}{6-3}\\\\Slope=\frac{-2+4}{3}\\Slope=\frac{2}{3}

So, we get slope m = 2/3

Using slope m=2/3 and point (3,-4) we can find y-intercept

y=mx+b\\\\-4=\frac{2}{3}( 3)+b\\-4=2+b\\b=-4-2\\b=-6

So, y-intercept b = -6

The equation of line having m=2/3 and b=-6 will be:

y=mx+b\\y=\frac{2}{3}(x)-6

The equation in slope-intercept form of required line is: \mathbf{y=\frac{2}{3}(x)-6}

7 0
3 years ago
What is the slope of the line on the graph. Need help ASAP please and thank you​
nydimaria [60]

Answer:

The slope of the line is 6.

Step-by-step explanation:

Two points on the line are (1,5) and (-1,-7)

y1 - y2 / x1 - x2

-7-5/-1-1 = -12/-2 = 6

6 0
3 years ago
Can you think of any other real-life scenarios where parallel lines and transversals<br> exist ?
RoseWind [281]

Answer:

on the road the 2 yellow line on the road

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Set questions need immediate help​
kompoz [17]
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  2. <em><u>5</u></em><em><u>0</u></em><em><u>-</u></em><em><u>3</u></em><em><u>5</u></em><em><u>%</u></em><em><u>=</u></em><em><u>1</u></em><em><u>5</u></em><em><u>%</u></em>
  3. <em><u>2</u></em><em><u>5</u></em><em><u>%</u></em><em><u>=</u></em><em><u>Math</u></em>
  4. <em><u>3</u></em><em><u>5</u></em><em><u>%</u></em><em><u>=</u></em><em><u>(</u></em><em><u>mns)</u></em>
  5. <em><u>1</u></em><em><u>5</u></em><em><u>%</u></em><em><u>=</u></em><em><u>science</u></em>
4 0
2 years ago
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