MATHEMATICS MIDDLE SCHOOL

How do I solve system of equations by substitution
y=-2x+2
y=7x+11

Answers

Answer 1

Answer:

Answer:

(-1, 4)

Step-by-step explanation:

We are told that:

y = -2x + 2 and

y = 7x + 11.

We can eliminate "y" by setting these two equations = to each other:

-2x + 2 = 7x + 11.

We need to solve this equation for x.

Adding 2x to both sides, we get 2 = 9x + 11.

Subtracting 11 from both sides results in -9 = 9x. Thus, x = -1.

Find y by subbing -1 for x in either of the given equations.

If we use the 2nd equation, then y = 7(-1) + 11, or y = 11-7, or y = 4.

The solution of this system of linear equations is (-1, 4)

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The weight limit on a bridge is 5 tons what is this weight in pounds

Answers

well 2,000 pounds = 1 ton so 2,000 * 5 = 10,000

Its 10,000 one ton is 2,000 2,000×5=10,000

Find the GCF of 200 and 75. A.
15

B.
25

C.
50

D.
75

Answers

the answer for your question

is b.25

Is 6/11 greater than or less than or equal to 9/10

Answers

less just cross mutiply it helps me out alot to do that Update: sorry I did that wrong I think it is greater than actually

Normally to compare 2 fractions, I would say to find a common denominator so you can compare them directly, however on this problem we can just use a little common sense to figure it out...

Look at 6/11. 6 is approximately half of 11 so 6/11 is approximately 1/2. Now look at 9/10. If 10/10 is one whole, 9/10 is approximately 1.

So you can look and see that 6/11 < 9/10 because 1/2 < 1

A function is shown f(x)=2/3x+3 what is the value of f(12)

Answers

The value of f (12) will be;

⇒ f (12) = 11

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The function is,

⇒ f (x) = 2/3x + 3

Now,

Since, The function is,

⇒ f (x) = 2/3x + 3

Substitute x = 12 in above equation, we get;

⇒ f (x) = 2/3x + 3

⇒ f (12) = 2/3 × 12 + 3

⇒ f (12) = 2 × 4 + 3

⇒ f (12) = 11

Thus, The value of f (12) will be;

⇒ f (12) = 11

Learn more about the substitution method visit:

brainly.com/question/25869125

#SPJ2

Answer:

55/18

Step-by-step explanation:

f(x) = 2/3*12 +3

= 1/18 +3

=55/18

Carl's new car gets 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?x = 27y
y = 27 + x
x = 27 + y
y = 27x

Answers

Answer:

The total miles driven equation is $y=27x$

Step-by-step explanation:

Given:

Number of gallons of gas is x.

Total miles driven is y.

Carl's new car gets 27 miles per gallon.

Hence to calculate total miles driven we need to multiply 27 with number of gallons of gas.

Hence the equation becomes.

$y=27x$

Bruce is getting materials for a chemistry experiment. His teacher gives him an container that holds 0.25 liter of a blue liquid. Bruce needs to use 0.4 of this liquid for the experiment. How much blue liquid will Bruce use?