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4 years ago

Find (12y-1)+(-10y+7)

Mathematics

2 answers:

Pani-rosa [81]4 years ago

8 0

Answer:

2y + 6

Step-by-step explanation:

$(12y - 1) + ( - 10y + 7) \\ = 12y - 1 - 10y + 7 \\ = 12y - 10y + 7 - 1 \\ = 2y + 6$

tekilochka [14]4 years ago

7 0

Answer:

2y +6

Step-by-step explanation:

(12y-1)+(-10y+7)

Combine like terms

12y -10y -1 +7

2y +6

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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

Find the slope of the given line

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

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Divide by $4$ both sides

$y=-\frac{3}{4}x+ \frac{15}{4}$

the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

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we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

$y=-\frac{3}{4}x+4$ or $3x+4y=16$

therefore

the answer is

$y=-\frac{3}{4}x+4$

$3x+4y=16$

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