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3 years ago

The solution to the system -2x+5y=-15 and 5x+2y=-6 is what

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3

You might be interested in

Solve please. 20 points.

Yakvenalex [24]

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13 one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

5 0

3 years ago

An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequal

yanalaym [24]

9514 1404 393

Answer:

t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

t + c ≤ 25

4 0

3 years ago

Please tell me what do i put in the blank?

muminat

Answer:

1. The slope of the line is -2

2. The y-intercept is 10

3. The equation in slope-intercept form is y = -2x + 10

Step-by-step explanation:

The slop-intercept form of the linear equation is y = m x + b, where

m is the slope of the line

b is the y-intercept (value y at x = 0)

The rule of the slope of the line using two points on the line (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

From the given table

∵ (2, 6) and (3, 4) are two points on the line

∴ x1 = 2 and y1 = 6

∴ x2 = 3 and y2 = 4

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{4-6}{3-2}$ = $\frac{-2}{1}$ = -2

∴ m = -2

∴ The slope of the line is -2 ⇒ (1)

→ Substitute it in the form of the equation above

∴ y = -2x + b

→ To find b substitute x and y in the equation by the coordinates of

any point in the table

∵ (5, 0) is a point on the table

∴ x = 5 and y = 0

∵ 0 = -2(5) + b

∴ 0 = -10 + b

→ Add 10 to both sides

∵ 0 + 10 = -10 + 10 + b

∴ 10 = b

∴ The y-intercept is 10 ⇒ (2)

→ Substitute the value of b in the equation

∵ y = -2x + 10

∴ The equation in slope-intercept form is y = -2x + 10 ⇒ (3)

3 0

3 years ago

Decide whether the relation defines a function.

diamong [38]

Answer:

Step-by-step explanation:

Lets first solve the relation for "y". Shown below:

$3x=9-4y\\4y=-3x+9\\y=-\frac{3}{4}x+\frac{9}{4}$

This is clearly an equation of a line in the form $y=mx+c$

It will be a negatively sloped line, when graphed.

We can use vertical line test to determine function or relation. If a vertical line passes through only 1 point in the graph, we say that it is a function.

Think of a negatively sloped line. No matter where you draw a vertical line, it will only cut the line at 1 point.

So, this is definitely an equation of a function

Correct answer is A

3 0

3 years ago

A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk

spayn [35]

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

7 0

3 years ago