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MrMuchimi
3 years ago
8

Solve the system 3x+y=2 5x-y=8

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

x= 5/4 ; y= -7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2;5x−y=8

Step: Solve3x+y=2for y:

3x+y+−3x=2+−3x(Add -3x to both sides)

y=−3x+2

Step: Substitute−3x+2foryin5x−y=8:

5x−y=8

5x−(−3x+2)=8

8x−2=8(Simplify both sides of the equation)

8x−2+2=8+2(Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=−3x+2:

y=−3x+2

y=−3(

5

4

)+2

y=

−7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

−7

4

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In the right triangle the measure of C is 90
liq [111]
The measure of a right angle is 90 degrees
6 0
3 years ago
P, Q & R form a right-angled triangle.
kvasek [131]

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180    {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

         ∠RSQ = 180 - 126

        ∠RSQ = 54°

∠PSQ +∠RSQ = 180   {Linear pair}

∠PSQ + 54 = 180

 ∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ    {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ   =x

∠PSQ + x +x = 180  {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

5 0
3 years ago
What is 8 tenths minus 5 hundredths?
Alex777 [14]
0.8 - 0.05 = 0.75

0.75
is the answer.

or 3/4ths
8 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST
patriot [66]

Answer:

The answer is (5,-6)

Step-by-step explanation:

it's the only point that's both on the line and and further away from point A

3 0
3 years ago
A local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers
Marat540 [252]
444 = x + (x-54)
x = 249
If there ate 54 fewer cheeseburgers than there should be 195 cheeseburgers and 249 hamburgers.

Your answer would be 249 hamburgers.
4 0
3 years ago
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