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2 years ago

Eq 1 X+Y=16 Eq 2 6x+9y=120 Solve by substitution Solve step by step

Mathematics

1 answer:

Alexxx [7]2 years ago

7 0

Answer:

X = 8, Y = 8

Step-by-step explanation:

Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.

Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.

Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.

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3 years ago

Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 f

lana [24]

Answer:

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-TheUnknownScientist

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3 years ago

Find the measure of BCD

Lerok [7]

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3 years ago

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

pantera1 [17]

The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52

The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd

You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.

Then you only can tell the missing angles, as I have shown, but not the misssing lengths.

Download docx

8 0

3 years ago

PLEASE HELP :D ( these are multi step equations )

AnnyKZ [126]

For the first problem the answer is -5/2

2x−7+10=−2

Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2

(Combine Like Terms)
2x+3=−2

Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5

Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2

Answer:
x= -5/2

3 0

3 years ago