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anastassius [24]
3 years ago
7

Solve by substitution. X = y + 3 3x + y = 25

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
1.distribute
3y+9+y=25
2. combine like terms
4y+9=25
3. subtract 9 from both sides
4y=16
4. divide
Solution: y=4
and for X it would be
X= (4) +3
X=7
so the Final solution is (7,4)
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Write the equation of a line with slope of 5/6 , and x-intercept of −8 in point-slope form.
babymother [125]

Answer:  y-0 = \frac{5}{6}(x+8)

==================================================

Explanation:

Point-slope form is

y - y_1 = m(x - x_1)\\\\

where m is the slope and (x_1,y_1) is the point the line goes through.

We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.

So,

y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.

7 0
3 years ago
Find the surface area of the rectangular prism. SA = sum of all 6 sides
wolverine [178]

Answer:

10*5 = 50

10*4 = 40

5 * 4 = 20

The total is 110 but we can't forget there are 2 sides to each of those planes and so the area = 220 square meters

Step-by-step explanation:

7 0
3 years ago
if twenty percent of the students play in the band and the band has forty members, how many students are there?
olchik [2.2K]
The total amount of students are 200
5 0
3 years ago
Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25
user100 [1]
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
8 0
4 years ago
Which is the graph of the inequality?
Sveta_85 [38]

We can simplify the inequality to:

y > (-1/5)*x - 2

From that, we conclude that the correct option is the last one.

<h3>Which is the graph of the given inequality?</h3>

Here we have the inequality:

5y + x > -10

If we isolate y, we get:

y > (-10 - x)/5

y > (-1/5)*x - 2

Then the inequality will be a dashed/dotted line with a negative slope, that passes through the point (0, -2), such that the region above and to the right of the line is shaded.

From that we conclude that the correct option is the last one:

"Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray."

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

8 0
2 years ago
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