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Rus_ich [418]
1 year ago
9

On a piece of paper, graph the system of equations. Find the solution to the system. y=2x-1 y=x+5

Mathematics
1 answer:
sattari [20]1 year ago
4 0

The solution to the system is 6 and 11.

<h3>What is equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation.

Given equation:

y=2x-1 .....(1)

y=x+5....(2)

Now solving equation 1 and 2, we get

2x -1 = x + 5

2x - x= 5 +1

x = 6

and, y= 2x-1

y= 2(6)-1

y= 12 -1

y= 11

Hence, the value of x is 6 and y is 11.

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

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Find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10
madam [21]
Y=- \frac{7}{3} -13 \frac{1}{3}.

To find the equation of a line, you need two things: the slope and the y-intercept. 

The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
       3y=10-7x
Then divide both sides three:
       by= \frac{10}{3} - \frac{7}{3} x
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}

Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
       (-11)=- \frac{-7}{3} (-1) + b
Solving this, we can subtract 7/3 from both sides:
     -11- \frac{7}{3} = b
Therefore, b= -13 \frac{1}{3}

Plugging the m= - \frac{7}{3} and the b= -13 \frac{1}{3} back into the y=mx+b format, your parallel line is y=- \frac{7}{3} -13 \frac{1}{3}.
5 0
3 years ago
In the name katherine, fine the ratio of consonants to vowels. PLEASE HELP 100 POINTS WORTH!!!!!!!​
Andrei [34K]

Answer:

5:4

Step-by-step explanation:

separate katherine into consonants:

kthrn

and vowels:

aeie

there are 5 consonants and 4 vowels, so the ratio is 5:4.

5 0
3 years ago
Read 2 more answers
Diego has written a feature story about a drumming circle. What should he include in his visual presentation to interest the aud
Art [367]

Answer:

A video of a drumming session.

7 0
3 years ago
−3(y+5)=15 someone please help me with this question my assignment is already late
AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0
2 years ago
Which of the following is the point and slope of the equation y - 11 = 3(x + 13)?
4vir4ik [10]
The answer is A.

The equation simplifies to y=3x+50.
So, C is already not an option.

Now we just plug in points to see if the point works for the equation.

A-11=3(-13)+50
11=-39+50

11=11

Thus, this point falls on the line of this equation and is a point.

So, the answer is A.

I hope this helps!
4 0
3 years ago
Read 2 more answers
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