X - 3y = - 7 2x = 6y - 14

2 answers:

8 0

Good Morning, how are you doing?

Were going to try and solve each system using the elimination method:
x - 3y = -7 (Equation 1)
2x = 6y - 14 (Equation 2)

From Equation 1:
x - 3y = -7
Add 3y to each side of the equation:
x - 3y + 3y = -7 + 3y
Therefore:
x = -7 + 3y
Substitute x = -7 + 3y into Equation 2.
Equation 2:
2x = 6y - 14
2(-7 + 3y) = 6y - 14
-14 + 6y = 6y - 14
Add 14 to each side of the equation. We remain with:
6y = 6y
y = 0
OK, now we continue :)

Substitute y = 0 into Equation 1:
x - 3y = -7
x - 3(0) = -7
x - 0 = -7
Add 0 to each side of the equation:
Therefore:
x = -7

Answer:

x = -7 and
y = 0

I hope this helped. :)

Ann [662]4 years ago

4 0

X - 3y = -7 this is formula 1
2x = 6y-14 this is formula 2
from formula 1, we can change it to
x = -7 + 3y. this is formula 3
now we know x in terms of y
sub it into formula 2
2(-7+3y) = 6y - 14
-14 + 6y = 6y -14
y=0
sub y = 0 into 3
x = -7 + 3x0
x = -7
so x is -7 and y is 0

You might be interested in

How do you show your work on this question -x/3+2=-5

Ilya [14]

Hello!

$\large\boxed{x = 21}$

$\frac{-x}{3} + 2 = -5$

Begin isolating for x by subtracting 2 from both sides:

$\frac{-x}{3} + 2 - 2 = -5 - 2\\\\\frac{-x}{3} = -7$

Further simplify by multiplying both sides by 3:

$\frac{-x}{3} * 3= -7 * 3\\\\-x= -21$

Multiply both sides by -1 to cancel out the -x:

$-x(-1) = -21(-1)\\\\x = 21$

4 0

3 years ago

Sarah wrote a number 13285. Caryn wrote a 5-digit number that only has one 3 in it. The 3 in Caryn's number is worth 10 times as

vampirchik [111]

Sarah's number: 13285
The digit '3' in Sarah's number worth = 3000

The digit '3' in Caryn's number is worth 10 times the digit '3' in Sarah's number: it's worth 10 × 1000 = 10000

Caryn wrote 5 digit number, and this number only have one digit '3'

Caryn's number could be:

35642
321547
30789

4 0

4 years ago

Which number is rational?

Vitek1552 [10]

The answer is D.

Don't be fooled sqrt(10) goes on for many many places and if you know the 20th digit is a 9 you have a 1 in 10 chance of predicting what the next digit is. The same is true for pi and sqrt(2). The sqrt root of 16 is 4 which is rational. It could be - 4 which is still rational. The other 3 go on forever and each one has the property of unpredictability of the next digit if you know the current digit.

4 0

3 years ago

Question 25 .........................................................

REY [17]

Answer:

its c

Step-by-step explanation:

5 0

4 years ago

Help me find the figure , area formula and graph the dots and find the area

Advocard [28]

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points. Therefore the figure is a triangle and the area formula would be $A=\frac{1}{2}*b*h$ .

You can look at the attached graph and what we see is that our height of the triangle is from $y=-3$ to $y=4$ which means that our height is 7 units high. We can also see that our base starts at $x=-4$ and ends at $x=4$ making us have a base of 8 units.