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3 years ago

• (6x + 5y=7• y = 2x - 5(solve using substitution)

Mathematics

2 answers:

LenKa [72]3 years ago

7 0

6x + 5y = 7

y = 2x - 5.

Plug the second equation into y for the first equation.

6x + 5(2x - 5) = 7.

Multiply 5 by 2x - 5

6x + 10x - 25 = 7.

Simplify the left side

16x - 25 = 7.

Add 25 to each side

16x = 32.

Divide each side by 16

x = 2.

Plug 2 into x for one of our original equations.

y = 2(2) - 5.

Simplify the right side.

y = -1.

In conclusion, x = 2 and y = -1

aleksandr82 [10.1K]3 years ago

7 0

Answer:

x=2 y=-1

Step-by-step explanation:

You can plug 2x-5 into the first equation for y since it gives you that y=2x-5. Then, you get 6x+5(2x-5)=7. After distributing the 5, you get 6x+10x-25=7. You can now combine the like terms 6x and 10x. You get 16x-25=7. Then, add 25 to both sides and get 16x=32. You can divide 16 by both sides to leave the x by itself and you get x=2.

x=2

After finding the x, you can plug 2 back into either equation to get your y. If you plug it into the second equation, you get y=2(2)-5=-1

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Marina86 [1]

Answer:

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Step-by-step explanation:

The equation of a lin in slope- intercept form is

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y = 5x + 3 ← is in slope- intercept form

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Parallel lines have equal slopes , then

The slope of a line parallel to y = 5x + 3 is 5

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3 years ago

P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)

Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

$\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}$ ⇒(1)

$\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}$ ⇒(2)

$\frac{2x-14}{x-7}=2$ ⇒(3)

From (1) , (2) and (3)

The quotient of the long division is $x^{2}+x+2$ and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

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3 years ago

Two lines intersect (see image below)

klemol [59]

Answer:

c-24

a-156

Step-by-step explanation:

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3 years ago

The volume of a rectangular prism is 16.328 cm³. The height is 3.14 cm.

Ghella [55]

Answer:

The area of the base is = 5.2 cm²

Step-by-step explanation:

First, we need to know the formula to calculate volume:

$volume=height XBase area$

if we change to our equations to the values we know:

$16.328 = 3.14XB$

Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:

$\frac{16.328}{3.14} =B$

We calculate the operation=

$\frac{16.328}{3.14} =5.2$

And the answer is 5.2 cm²

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3 years ago

Find the measure of angle BCD in the following parallelogram. what's does BCD equal

DiKsa [7]

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

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x = 360/6 = 60

<BCD = 2x = 2 * 60 = 120

Thus, the answer is 120 degrees.

Hope this helps!

4 0

3 years ago

• (6x + 5y=7• y = 2x - 5(solve using substitution)​

• (6x + 5y=7• y = 2x - 5(solve using substitution)