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LenaWriter [7]
3 years ago
12

Use substitution to solve the system. y = 3x +16 4x - 5y = -25

Mathematics
2 answers:
mariarad [96]3 years ago
6 0

Answer:

(-5,1)

Step-by-step explanation:

y=3x+16

4x-5y=-25

substitute the given value of y into the equation.

4x-5(3x+16)=-25

solve

x=5

substitute the given value of x into the equation.

y=3x(-5)+16

solve

y=1

(-5,1)

jekas [21]3 years ago
4 0

Answer:

x=-5

y=1

Step-by-step explanation:

4x-5y=-25

4x-5(3x+16)=-25

-11x-80=-25

-11x-80+80=-25+80

-11=55

-11x/-11=55/-11

x=-5

y=3x+16

y=3(-5)+16

y=-15+16

y=1

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Plzzzzzzzzzzz help someone!!
Morgarella [4.7K]

Answer:

B) Isolate the variable through inverse operations

Step-by-step explanation:

In order to get the value of y, we need to get y by itself. Since y is being multiplied by the coefficient 7, dividing both sides by 7 gets us y=10, so B is the right choice.

7 0
3 years ago
Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
4 years ago
Read 2 more answers
What is the value of x?<br> *36<br> *72<br> *108<br> *144
Anit [1.1K]

Answer:

72

Step-by-step explanation:

6 0
3 years ago
What is the value of a?
Juli2301 [7.4K]
Actually, the answer is not A, if you're saying A is the first choice above.  That's incorrect.  You will need to use the Geometric mean for right triangles here to figure out what the value of a is.  We will use this form: \frac{YZ}{WZ} = \frac{WZ}{XZ}.  We have a value for YZ of 3; side a is XZ.  That means in order to solve this we need WZ, which we can find using pythagorean's theorem.  3^2 + 4^2 = c^2 and 9 + 16 = c^2 and c = 5.  Now we fill in accordingly: \frac{3}{5}= \frac{5}{XZ}.  Cross-multiply to get 3XZ=25 and side XZ is \frac{25}{3}.  XZ is 25/3 and YZ is 3, so 25/3 - 3 = XY.  That means that XY (side a) = 16/3 or 5 1/3, choice B, or the second one down.
8 0
3 years ago
Simplify into one fraction -2/x+3 - 4/x-5
sergiy2304 [10]
Multiply and divide by the product of the denominators.
\dfrac{-2}{x+3}+\dfrac{-4}{x-5}=\dfrac{-2(x-5)-4(x+3)}{(x+3)(x-5)}\\\\=\dfrac{-6x-2}{x^{2}-2x-15}
6 0
4 years ago
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