Which equation does the graph of the system of equations solve?

Mathematics

1 answer:

jasenka [17]1 year ago

3 0

Answer:

Step-by-step explanation:

Equation of line 1:

Choose two points : (-1, 0) & (0,2)

y -intercept = b = 2

y = mx+ 2

Plugin the values of the points ( -1 , 0) in the above equation

0 = -1m + 2

-2 = -m

m = 2

Equation of line 1 : y = 2x + 2

Equation of line 2:

(5,0) & (0,5)

y-intercept = b = 5

y = mx +b

y = mx + 5

Plugin the value of points (5 , 0) in the above equation

0 = 5m + 5

-5 = 5m

-5/5 = m

m = -1

Equation of line 2: y = -x + 5

Conclusion: 2x + 2 = -x + 5

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Stella [2.4K]

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Step-by-step explanation:

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2 years ago

Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.