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Semmy [17]
3 years ago
9

- 2X +3Y=7 5x+8y=-2 Solution=(_,_)

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

The solution is the point (-2,1)

Step-by-step explanation:

we have

-2x+3y=7 ----> equation A

5x+8y=-2 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The solution is the point (-2,1)

see the attached figure

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If 2 sodas and 3 hot dogs are $17 while 5 sodas and 6 hot dogs are $38.75 - how much are each separately?
Bond [772]

The cost of soda is $4.75 and the cost of hot dog is $2.5

<u>Step-by-step explanation</u>:

<u>Let us assume :</u>

  • The cost of soda be 'x'.
  • The cost of hot dog be 'y'.

<u>Given that,</u>

The cost of 2 sodas and 3 hot dogs are $17.

⇒ 2x + 3y = 17  ------(1)

The cost of 5 sodas and 6 hot dogs are $38.75

⇒ 5x + 6y = 38.75  -------(2)

<u>Solving the equations to find x and y values :</u>

Multiply eq(1) by 2 and subtract eq(2) from eq(1),

 4x + 6y = 34

-(<u>5x + 6y = 38.75</u>)

 <u>-x         = -4.75 </u>

The value of x = 4.75

The cost of soda is $4.75

Substitute x=4.75 in eq(1),

2(4.75) + 3y = 17

3y = 17 - 9.5

3y = 7.5

y = 7.5/3

y = 2.5

The cost of hot dog is $2.5

7 0
3 years ago
A seller has a house that is 1700 ft^2. The neighborhood comps show the line of best fit to be y=0.074x + 50.48. What is a fair
natita [175]
Let the price for the house be x and the square feet of the house be y,
when the house is 1700 sq ft, y = 1700.

y = 0.074x + 50.48
1700 = 0.074x + 50.48
0.074x = 1700 - 50.48
0.074x = 1649.52
x = 22 290.81 (to the nearest cent)

A fair price for this house would be $22 290.81.
4 0
3 years ago
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
likoan [24]

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

y=40

or in an easier way

-138/-6 =23

23+17=40

simply reversing the question to get the answer

7 0
2 years ago
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Yuki888 [10]

Answer:

.3 feet

Step-by-step explanation:

3.8 - 3.5 = .3

5 0
2 years ago
What is the slope of a line that has a y-intercept but no x intercept
IRINA_888 [86]

Answer:

The slope of a line that has a y-intercept but no x-intercept will be zero.

Step-by-step explanation:

If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis.

If a line does not have an x-intercept, it means it would never intersect the x-axis.

Thus, it must be parallel to the x-axis, meaning its slope will be zero. It would be just a horizontal line.

For example, y=9 is the line equation that does not have an x-intercept and its slope is zero.

Therefore, the slope of a line that has a y-intercept but no x-intercept will be zero.

7 0
2 years ago
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