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defon
3 years ago
7

Solving for x and y in a linear equation (x,y) -11x-10y=17 5x-7y=50

Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0
Top one
y=-1.7+11y
x=-1.55+10y
Bottom one
y=-7.14-5x
Ann [662]3 years ago
5 0
The best way to do this equation would be subtraction
-11x-10y=17
5x-7y=50
multiply the top equation by -7 and the bottom equation by 10
77x+70y=-119
50x-70y=500
The y cancels out
127x=381
x=3
plug y back into the original equation
-11(3)-10y=17
-33-10y=17
-10y=50
y=-5
(3,-5)
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50% of $20 is $10

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Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?
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WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!
Andrew [12]

Answer:

a = \frac{1}{2} , b = 5, and  \frac{2b}{a} = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

<u>+4  +4   </u>                    Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

<u>-3        - 3</u>                     Do inverse operations

2 = 4a                          

\frac{2}{4} = \frac{4a}{4}                           Divide 4 on both sides to isolate the variable a

\frac{2}{4} = a                            Simplify

\frac{1}{2} = a

Then,

The second part says to find \frac{2b}{a}

\frac{2b}{a}

\frac{2(5)}{(\frac{1}{2}) }                  Input both the values of a and b

\frac{10}{\frac{1}{2} }                    Simplify

20.

The answer for a is \frac{1}{2}, the answer for b is 5, and the answer for \frac{2b}{a} is 20.

6 0
3 years ago
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 bu
Sophie [7]

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

8 0
2 years ago
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