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Nat2105 [25]
3 years ago
8

Solve each system by using substitution X= Y - 2 4X + Y = 2

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

Answer:

(0, 2 )

Step-by-step explanation:

Given the 2 equations

x = y - 2 → (1)

4x + y = 2 → (2)

Substitute x = y - 2 into (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y - 8 = 2 ( add 8 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Substitute y = 2 into (1) for corresponding value of x

x = 2 - 2 = 0

Solution is (0, 2 )

yan [13]3 years ago
4 0

Answer:

10

Step-by-step explanation:

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Write the statement in the if then form perpendicular lines intersect to form right angles
kvv77 [185]

Answer: If perpendicular lines intersect, then they form right angles.


Step-by-step explanation:

You take the first part, "perpendicular lines intersect", and add the "if" to it. Then, you take the second part, "to form right angles", and add the "then" in front of it to get your answer, "If perpendicular lines intersect, then they form right angles."

Hope it helps! :)

8 0
3 years ago
The equation of the line that goes through the point (1,5) and is parallel to the line 3x+5y=2 can be written in the form y=Mx+b
Llana [10]

Answer:

y=-\frac{3}{5}x+\frac{28}{5}

Step-by-step explanation:

step 1

Find the slope of the given line

we have

3x+5y=2

isolate the variable y

5y=-3x+2\\\\y=-\frac{3}{5}x+\frac{2}{5}

The slope of the given line is

m=-\frac{3}{5}

step 2

Find the equation of the line that goes through the point (1,5) and is parallel to the given line

Remember that

If two lines are parallel then their slopes are equal

therefore

we have

m=-\frac{3}{5}

point\ (1,5)

substitute in the equation of a line in slope intercept form

y=mx+b

5=-\frac{3}{5}(1)+b

solve for b

b=5+\frac{3}{5}\\\\b=\frac{28}{5}

substitute

y=-\frac{3}{5}x+\frac{28}{5}

3 0
4 years ago
Write 19 3/4 as a decimal number
Aliun [14]

Answer:

<em>19.75</em>

Step-by-step explanation:

<em>1/4=0.25 </em>

<em>2/4=0.50 </em>

<em>3/4=0.75</em>

<em>so 0.75+19=19.75</em>

5 0
4 years ago
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What percentage is 9 to 19? In decimal places
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Answer:

47.368421052632%Step-by-step explanation:

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