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Elanso [62]
2 years ago
12

Solve the system by any method. (3x – 4y = -5 (5x + 8y = -1

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
5 0
The answer is (-1,1/2)
Taya2010 [7]2 years ago
4 0

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.

Simplify the equations

\left \{ {{-5=-5} \atop {-1=-1}} \right.

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

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Answer:

A) 53

B) 53%

C) 37%

D) 63%

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Step-by-step explanation:

A) 53 people did not get headaches at all.

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3 0
3 years ago
Given: AB ≅ BC , m∠MOC = 135° OM − angle bisector of ∠AOB Prove: ∠ABO ≅ ∠CBO
Gennadij [26K]

Answer:

See explanation

Step-by-step explanation:

1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then

m∠AOM = 180° - 135° = 45°

2. OM − angle bisector of ∠AOB, then

m∠AOM = m∠MOB = 45°

3. Now

m∠BOC = m∠MOC - m∠MOB

m∠BOC = 135° - 45° = 90°

4. Since m∠BOC = 90°, BO is perpendicular to AC.

5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus

∠ABO ≅ ∠CBO

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