Find the Slope and y-intercept 2(x+1) + 3(y -2) = -7

Mathematics

2 answers:

e-lub [12.9K]2 years ago

8 0

Answer:

Step-by-step explanation:

If we simplify the equation into the form $y = mx + b$ this problem is very easy

$2(x+1)+3(y-2)=-7\\2x+2 + 3y- 6 = -7\\2x + 3y = -3\\3y = -2x -3\\y = \frac{-2}{3}(x) - 1$

So, the slope is $\frac{-2}{3}$ and the y-intercept is $-1$

TiliK225 [7]2 years ago

3 0

Answer:

y = -2/3x -1

Step-by-step explanation:

2x + 2 + 3y -6 = -7

2x + 3y = -3

-2 -2

3y = -2x -3

/3 /3 /3

y = -2/3 -1

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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.