All categories

3 years ago

What is the solution of 3x + y = 9 and 3x − 5y = 15?

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

5 0

3x+y=9
3x-5y=15

3x+y+6=3x-5y
y+6=-5y
6y=-6
y=-1

3x-1=9
3x=10
x=10/3
x=3 1/3

y=-1
x=3 1/3

Hope this helps :)

Alinara [238K]3 years ago

4 0

3x+y=9 ....(1)
3x-5y=15. ......(2)
-[3x-5y=15]
=> 3x+ y = 9
-3x+5y=-15
..........................
0 +6y=-6
so,y=-1
3x+(-1)=9
3x=10
x=10/3

You might be interested in

A group of eight grade 11 and five grade 12 students wish to be on the senior prom committee. The committee will consist of thre

BaLLatris [955]

5/13*4/12*3/11=5/143 I believe

7 0

3 years ago

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

Solution:

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

Let us first convert the mixed fraction to improper fraction

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

3 0

3 years ago

Determine which postulate or theorem can be used to prove that REM= DME.

Snowcat [4.5K]

Answer:

SSS

Step-by-step explanation:

REM and DME share a side. This side is of course congruent.

In addition, sides RM and ED are marked as congruent, as are RE and MD.

All three corresponding sides of each triangle are congruent, which proves the triangles' congruency.

No information is given about the angles in these triangles, so none of the other theorem answer choices are valid.

Please mark brainliest! :)

5 0

3 years ago

Read 2 more answers

Please help! math! (17 points was max) PICTURE ATTACHED

mario62 [17]

Step-by-step explanation:

angle A and Angle D are congruent. as are Angle C and Angle F.

because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.

I couldn't read the 3rd question. if you post as a comment I can look at it better.

6 0

3 years ago

The vertex form of the equation of a parabola is y = (x - 3)2 + 36.

IrinaVladis [17]

- B. y = x2 - 6x + 45

6 0

3 years ago