All categories

3 years ago

4x+5y=-13;5x-2y=-8 solve elimination method Step by step

1 answer:

8 0

4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)

5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)

equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2

substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1

The values of x and y are -2 and -1 respectively.

You might be interested in

AABC is isosceles.<br> AB = 3x - 4 and BC = 5x - 10.<br> AB = [?]

Schach [20]

If AB = BC then set up the equation 3x - 4 = 5x - 10

Subtract 3x.

-4 = 2x - 10

Add 10.

6 = 2x

Divide by 2.

3 = x

AB is 3x - 4 so

3(3) - 4

9 - 4

AB = 5

If AB is not equal to BC then this is not solvable.

But if they are I am sure AB = 5.

Hope this helps

4 0

3 years ago

G(-2, 5), H(6, 5), J(6, -1) 17 Find the coordinates of the centroid.

eimsori [14]

Hjjkbcyjkkhjiihbkoougnig

4 0

3 years ago

Three friends go to the movies. Each ticket costs $7. They also buy popcorn for $6, candy for $4 and a drink for $2. The friends

ozzi

Each friend owes 11 dollars
((7*3)+4+2+6)/3=11

6 0

3 years ago

Read 2 more answers

In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$

$^{18}C_{2} = \frac{18!}{(18-2)!2!}$

$^{18}C_{2} = \frac{18!}{16!2!}$

$^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}$

$^{18}C_{2} = \frac{18\times17}{2\times1}$

$^{18}C_{2} = \frac{306}{2}$

$^{18}C_{2} = 153$

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0

2 years ago

Linda had been collecting stamps for 5 weeks and had 25 stamps in her stamp book. Her book holds 64 stamps. She then began purch

coldgirl [10]

25 divided by 5 is 5 so she gave 5 stamps each week
64 divide by 3 would roughly be 12 weeks because otherwise it would be a renainder
12 add 5 equals 17 weeks
So it should take 17 weeks
hope this is right Please ask me if any doubts
Thank you Good Luck

7 0

3 years ago