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3 years ago

Solve. { 4x+y=5 3x+y=3 Use the linear combination method. (0, −3) (2, −3) (−3, 7) (0, 5)

Mathematics

1 answer:

lubasha [3.4K]3 years ago

6 0

The solution of the system of the equation is (2 , -3) ⇒ 2nd answer

Step-by-step explanation:

The steps of the linear combination method are:

Make the coefficients of one variable in the two equations same in values and different in signs
Add the two equations to eliminate that variable and make one equation of the other variable
Solve the equation to find the other variable
Substitute its value in any one of the two equations to find the variable that eliminate before

∵ The system of equation is:

4x + y = 5 ⇒ (1)

3x + y = 3 ⇒ (2)

Multiply equation (2) by -1 to make y equal in values and different in signs

∵ -3x - y = - 3 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ x = 2

- Substitute the value of x in equation (1) or to to find the value of y

∵ 4(2) + y = 5

∴ 8 + y = 5

- Subtract 8 from both sides

∴ y = -3

∴ The solution of the system of equations is (2 , -3)

The solution of the system of the equation is (2 , -3)

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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21, Given: AC=FC, CB = CD Prove:

neonofarm [45]

Answer:

in triangle ACD and BCE

AC = EC

angle ACD = angle ECB ( COMMON ANGLE).

CB = CD

BY side and side criteria

triangle ACD is congruent to triangle BCE

so angle a is congruent to angle E

hence, proved

5 0

2 years ago

for the polynomial f(x)=x^3-x^2-4x+4 how many zeros does the function have over the set of complex numbers

s344n2d4d5 [400]

The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.

<h3>What is a factorization?</h3>

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

f(x) = x³ - x² - 4x + 4

Then the factor of the equation will be

f(x) = x²(x - 1) - 4(x - 1)

f(x) = (x² - 4)(x - 1)

f(x) = (x² - 2²)(x - 1)

f(x) = (x + 2)(x - 2)(x - 1)

Then the solution to the equation will be

(x + 2)(x - 2)(x - 1) = 0

x = -2, 1, 2

The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.

More about the factorization link is given below.

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5 0

2 years ago

Brandon and Nolan work at a furniture store. Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can b

Helen [10]

The value of "x" is 14400 dollars that will make their weekly pay the same

Solution:

Given that,

Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can be represented by g (x) =235 + 0.06x

g(x) = 235 + 0.06x ----- eqn 1

Nolan is paid $667 per week plus 3% of his total sales in dollars, x, which can be represented by f(x ) = 667 + 0.03x

f(x) = 667 + 0.03x ----------- eqn 2

Determine the value of x, in dollars, that will make their weekly pay the same

For their weekly pay to be same, g(x) = f(x)

235 + 0.06x = 667 + 0.03x

Move the variables to one side and constants to other side

0.06x - 0.03x = 667 - 235

0.03x = 432

x = 14400

Thus value of "x" is 14400 dollars that will make their weekly pay the same

6 0

3 years ago

Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After

ivanzaharov [21]

two weeks = 47 47/2 = 23.5 every week

24 weeks = 430 430/24= about 17.9 every week

She save from about $17.9 to $23.5

(not sure I did it right. Hope I helped :))

7 0

4 years ago

Read 2 more answers

If 9a +8b+9c=-9 , what is 81c+72b+81a ?

Feliz [49]

9x9=81
8x9=72
9x9=81
-9x9=-81

3 0

3 years ago

Read 2 more answers