Simultaneous equations: 3x-2y=9 5x-2y=7

Answers

Answer 1

Answer: $\left \{ {{3x-2y=9\ /\cdot(-1)} \atop {5x-2y=7\ \ \ \ \ \ \ \ }} \right.\n\n \left \{ {{-3x+2y=-9} \atop {5x-2y=7}} \right. \n--------\n-3x+5x=-9+7\n2x=-2\ /:2\nx=-1\n \n5x-2y=7\n 2y=5x-7\ \ \Rightarrow\ \ \ y= (1)/(2)\cdot[ 5\cdot(-1)-7]= (1)/(2)\cdot(-12)=-6\n \n \left \{ {{x=-1} \atop {y=-6}} \right.$

Related Questions

Which ratio correctly compares 60 mm to 45 cm?
Please help with these math questions
5/12-3/20 use the least common multiple as the denominator
The glass held 100..A. mL B. g C. kg D. mg E. L
Find the slope of the line passing through the points (-2,2) and (-7,5)

Find the length of the missing side of the triangle below

PLEASE HELPP!!

Answers

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem: a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196 Subtract 64 on both sides

a² = 132 Square root both sides to get "a" by itself

$√(a^2) =√(132)$

a = $√(132)$ inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

$a=√(4*33)$

$a=√(4) *√(33)$

$a=2√(33)$

Daniela rented a snowboard for $35 then took lessons that cost $7 per hour .if her total cost to rent a snowboard and take lessons was $73.50, how many hours of lessons did she take ?

Answers

Answer:

5.5 or 51/2 hours

Step-by-step explanation:

get 73.50 and subtract it with 35. you would then get 38.5 then you divide by 7.

Answer:

5.5hrs

Step-by-step explanation:

35 + 35 = 70 (5 hrs) half of 7 is 3.5

70 + 3.5 = 73.50

So Daniela took 5 and a half hours of lessons

Can someone help me with this problem...
#20

Answers

3/12, 1/3, 2/5, 4/9, 5/8, 2/3, 3/4, 5/6

Dominic and Stacy each have a stamp collection. Dominic has six fewer stamps than three times the number of stamps Stacy has. Dominic and Stacy decide to give all of their stamps to their younger sister, Mary. If Stacy had s stamps, which expression represents the number of stamps that Mary received?(3s - 18)(3s - 6)

2s - 18

4s - 6

4s - 18

Answers

The number of stamps that Mary received are 4s-6

What is linear equation ?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C"

Given,

Stacy has s stamps.

Then, from the question it is clear that Dominic has 3s-6 stamps

So, the number of stamps that Mary received will be 3s-6 +s = 4s-6

Hence, option C is the correct option.

To know more about linear equation here

brainly.com/question/11897796

#SPJ2

I'm pretty sure it's the first option.

Since Stacy has 3 times more stamps than Dominic does, you write 3s - 6
If you multiply 6 x 3 you get 18, giving you 3s - 18

What is the sign of the product (−4)(6)(9)(3)? Positive, because the products (−4)(6) and (9)(3) are negative and the product of two negative numbers is positive

Positive, because the products (−4)(6) and (9)(3) are positive and the product of two positive numbers is positive

Negative, because the product (−4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative

Negative, because the product (−4)(6) is negative and the product (9)(3) is negative, and the product of two negative numbers is a negative number

Answers

Hello,

The correct answer is C) Negative, because the product (-4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative.

Hope this helps!!!!

The product is -648. This is because (-6)(4) is a negative product and (9)(3) is a positive product. A negative and a positive product equals a negative outcome. The third option is correct

Ab + c = d solve for b