All categories

3 years ago

Substitution method4x + y = 146x - 3y = 3

Mathematics

1 answer:

lakkis [162]3 years ago

3 0

Answer:

x = 2.5
y = 4

Step-by-step explanation:

We know that:

4x + y = 14
6x - 3y = 3

Let's first solve for y by choosing any equation.

4x + y = 14
=> y = 14 - 4x

Now, let's substitute the value of y into the second equation.

6x - 3y = 3
=> 6x - 3(14 - 4x) = 3
=> 6x - 42 + 12x = 3
=> 18x - 42 = 3
=> 18x = 42 + 3
=> 18x = 45
=> x = 45/18 = 5/2 = 2.5

Now, let's substitute the value of x into the equation of y.

=> 14 - 4x = y
=> 14 - 4(2.5) = y
=> 14 - 10 = y
=> y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

You might be interested in

-5/6x = -10/3 solve for x

ololo11 [35]

Answer:

x = 4

Step-by-step explanation:

First you need to multiply both sides of the equation by -6/5

-6/5 × (-5/6x) = -6/5 × -10/3

Then you need to calculate and reduce. First, you'll reduce the numbers with the greatest common divisor, 6.

1/5 × 5x = -6/5 × (-10/3)

then reduce the greatest common divisor, 5

x = -6/5 × (-10/3)

Then multiply (multiplying two negatives equals a positive)

x = 6/5 × 10/3

reduce the greatest common divisor, 3

x = 2/5 × 10

reduce the greatest common divisor, 6

x = 2 × 2

x = 4

(i know this is confusing, sorry)

8 0

3 years ago

She works as a waitress at a local Emerald Monday restaurant. Her regular hourly wage is $15.50. She regularly works 40 hours pe

lina2011 [118]

Answer:

Her regular weekly pay is $62 and her annual salary is $3100.

Step-by-step explanation:

Given that her hourly wage=$15.50 / hour

As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.

If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.

Hence, her regular weekly pay is $62 and her annual salary is $3100.

8 0

3 years ago

Jason complete 5/8 of his test and 10/25 of his homework. What fraction of his homework does he still need to complete?

sineoko [7]

Answer:

3/4

Step-by-step explanation:

Because the total homework would be 25/25

$\frac{25}{25}-\frac{10}{25} =\frac{15}{25}$

15/20 can be reduced to 3/4

4 0

3 years ago

Find all solutions to the equation. cos^2 x +2cosx+1=0

Schach [20]

$x= \pi$

Step-by-step explanation:

$\cos^2x+\cos x+1=0$

Let $u= \cos x$

Then $u^2+2u+1=(u+1)^2=0$

$\cos x = -1$

This gives us $x= \pi$ or all integer multiples of $\pi (n \pi)$

4 0

3 years ago

A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. What an equation for that?

myrzilka [38]

Answer:

30 + 19.99 per hour

Step-by-step explanation:

ADD THEM IN A EQUATION.

SO SIMPLE TO DO THAT!

7 0

3 years ago

Read 2 more answers

Substitution method4x + y = 146x - 3y = 3​

Substitution method4x + y = 146x - 3y = 3