All categories

3 years ago

Systems of equations by substitution

Mathematics

2 answers:

NemiM [27]3 years ago

6 0

Answer:

(-2,1)

Step-by-step explanation:

Substitute the value of y (x+3) from one equation into the second equation (2x+5)

X+3 = 2x + 5

add -2x to both sides

-x+3=5

add -3 to both sides

-x=2

x=-2

substitute -2 for x in either equation to find y.

y=-2+3

y=1

Check your answer by substituting x and y into either equat to make sure it equals.

y=x+3

1=-2+3

1=1

y=2x+5

1=2(-2)+5

1=-4+5

1=1

Nataly_w [17]3 years ago

3 0

X + 3 = 2x +5
-x -5 = -x - 5
x = -2

You might be interested in

How many zeroes does this polynomial have? x^2 + 3x - 4 A:4 B:1 C:3 D:2

Natasha2012 [34]

The answer is d .............

6 0

3 years ago

Write that number as a decimal?

pshichka [43]

Hmm a number as. a decimal is 1/2=0.50

5 0

4 years ago

A cylinder has a surface area of 5652 square millimeters. If the diameter of the cylinder is 30 millimeters, what is the height?

o-na [289]

The formula for the surface area of a cylinder is:

$\sf A=2\pi rh+2\pi r^2$

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

$\sf 5652\approx 2(3.14)(15)h+2(3.14)(15)^2$

Simplify:

$\sf 5652\approx 94.2h+1413$

Subtract 1413 to both sides:

$\sf 4239\approx 94.2h$

Divide 94.2 to both sides:

$\boxed{\sf h\approx 45~mm}$

So the height is approximately 45 millimeters.

7 0

3 years ago

Read 2 more answers

What is the sum of 8.4*10^8 and 4.2*10^7 written in scientific notation?

anyanavicka [17]

(8.4*10^8) + (4.2*10^7)

= 882,000,000
= 8.82*10^8

Hope it helped :)

5 0

3 years ago

Beth had 1 yard of ribbon. she used 1/5 yard for a project. She wants to divide the rest of the ribbon into pieces 1/10 yard lon

likoan [24]

1 - (1/5) = 4/5 yards of ribbon.
(4/5) / (1/10) = 8 Pieces of 1/10 Yard Long Ribbons

Hope that Helped you.

4 0

3 years ago