Ask question

Ask question

All categories

4 years ago

12

Solve the following simultaneous equations using an appropriate method.

1 answer:

luda_lava [24]4 years ago

8 0

A) SUBSTITUTION: 4x + 3(-2x +8)=16
4x + -6x + 24 = 16
-2x= -8
x= 4
y= 0

b) ELIMINATION:
12x -8y = -76
-12x -15y = -39
-23y= -115
y=5
x= -3

c) ELIMINATION:
-12x+28y=36
12x-9y=21
19y= 57
X=4
y=3

d) SUBSTITUTION:
-4(23 -3y) +5y=-7
-92+12y+5y =-7
-92 +17y = -7
17y = 85
y=5
x=8

You might be interested in

2. Solve for the x.<br> 8<br> 16<br> 7

olasank [31]

Answer:

Theres no equation here?

Step-by-step explanation:

3 0

3 years ago

The bisectors BO and CO of the angles at B and C of ABC meet at O. Prove that BOC = 90° + A/2.

Maksim231197 [3]

The prove that BOC = 90° + A/2. is given below:

<h3>What is the bisector about?</h3>

Note that, bisectors of angles B and C and that of a triangle ABC is one that pass across each other at the point O.

Hence: one need to to prove that ∠BOC = 90° + A/2

Since:

BO is said to be the bisector of angle B e.g. ∠OBC = (∠1)

CO is said to be the bisector of angle C e.g. ∠OCB = (∠2)

Looking at the triangle BOC, to interpret by the use of angle sum property, then:

∠OBC + ∠BOC + ∠OCB = 180°

∠1 + ∠BOC + ∠2 = 180° ---- ( equation 1)

Looking at triangle ABC and by the use of angle sum property, So;

∠A + ∠B + ∠C = 180°

∠A + 2(∠1) + 2(∠2) = 180°

Then we divide by 2 on the two sides, and it will be:

∠A/2 + ∠1 + ∠2 = 180°/2

∠A/2 + ∠1 + ∠2 = 90°

∠1 + ∠2 = 90° - ∠A/2 ---(equation 2)

Then one need to Substitute (2) in (1), So:

∠BOC + 90° - ∠A/2 = 180°

∠BOC - ∠A/2 = 180° - 90°

∠BOC - ∠A/2 = 90°

Hence , ∠BOC = 90° + ∠A/2

Therefore, from the above, we care able to prove that BOC = 90° + A/2.

Learn more about bisector from

brainly.com/question/11006922

#SPJ1

3 0

2 years ago

What is the value of x in the equation 3x-1/9y=18 when y=27

IrinaK [193]

Yes it is true
When we do the sum with the value as x -27 then we will get the answer

6 0

3 years ago

Read 2 more answers

3x=3x+4 is it no solution

Katena32 [7]

Correct!

no matter what value we enter in for x, the statement will always be incorrect

3(1)=3(1)+4
3 = 3+4
3 $\neq$ 7

8 0

4 years ago

3 George has a rectangular deck that is 9 feet wide and 6 feet long. He builds a

LiRa [457]

Answer:

$Area=216\ ft^2$

Step-by-step explanation:

-Given that the dimensions of the new deck are double the dimensions of the old deck:

$New \ Length=2(Old \ Length)=2\times 9=18\ ft\\\\New \ Width=2(Old \ Width)=2\times 6=12\ ft$

#The area of the new deck can now be calculated as:

$Area=Length\times Width\\\\=18\times 12\\\\=216\ ft^2$

Hence, the area of the new deck is $216\ ft^2$

7 0

4 years ago