All categories

4 years ago

(5x+2y=23 (13x+3y=51

Mathematics

1 answer:

AysviL [449]4 years ago

7 0

Answer:

$[3, 4]$

Step-by-step explanation:

{5x + 2y = 23

{13x + 3y = 51

−5⁄13[13x + 3y = 51]

{5x + 2y = 23

{−5x - 1 2⁄13y = 19 8⁄13 >> New Equation

______________________

11⁄13y = 3 5⁄13

_____ ______

11⁄13 11⁄13

$y = 4$ [Plug this back into both equations above to get the x-coordinate of 3]; $3 = x$

I am joyous to assist you anytime.

You might be interested in

Order each set of numbers from least to greatest.

madam [21]

Answer:

1. -18,-7,-4,3,16

2. -39,-24,-12,20,24

3. -64,-57,-32,0,9

4. -24,-14,-8,-3,-1

Step-by-step explanation:

Negative numbers are always least.

6 0

3 years ago

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts t

kobusy [5.1K]

Answer:

2.5 meters each week.

Step-by-step explanation:

Plug in 6 weeks for <em>t </em>and your equation would be s = -2.5(6) + 4. After solving you would get 2.5 meters.

8 0

3 years ago

Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha

Fynjy0 [20]

Answer:

rate 1. 50 2. 56

Step-by-step explanation:

if you graph them all together.

5 0

3 years ago

Please help me with this

kondaur [170]

For number 1a. the answer is 7 to 26 or
7:26 or
$\frac{7}{26}$
For number 2a. the answer is 8 to 28 or
8:28 or
$\frac{8}{28} or \frac{2}{7}$
For number 3a. the answer is 12 to 13 or
12:13 or
$\frac{12}{13}$
For number 4a. the answer is 19 to 12 or
19:12 or
$\frac{19}{12}$
For number 5a. the answer is 29 to 10 or
29:10 or
$\frac{29}{10}$
For number 6a. the answer is 11 to 28 or
11:28 or
$\frac{11}{28}$

I just did your homework

4 0

4 years ago

What two numbers have a sum of 217 and a difference of 85?

KiRa [710]

We can use the system of equations:x + y = 217x - y = 85-----------------From the 2nd equation: y = x - 85x + x - 85 = 2172 x = 217 + 852 x = 302x = 302 : 2x = 151y = 217 - 151y = 66We can prove this solution:151 + 66 = 2017 and 151 - 66 = 85.Answer: those numbers are 151 and 66.

3 0

3 years ago