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3 years ago

What is the solution for the system of equations? y=−x+4 y= x−2

Mathematics

1 answer:

MissTica3 years ago

6 0

Answer:

(3, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 4 → (1)

y = x - 2 → (2)

Substitute y = x - 2 into (1)

x - 2 = - x + 4 ( add x to both sides )

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

y = 3 - 2 = 1

solution is (3, 1 )

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The graph below represents which system of inequalities?

attashe74 [19]

Answer:

y ≤ 2x -2 Option C.

Step-by-step explanation:

Equation of the dotted line which passes through (3,0) and (0,8) will be

y = mx+C

m = $\frac{y-y'}{x-x'}=\frac{3-0}{0-3}$ = -1

and C = 3

So equation will be y = x + 3

But shaded blue part is above the dotted line so inequality will be y> -x +3

Equation of the second solid line which passes through ( 0,-2) and (1,0) will be

y = mx + C

m = $\frac{y-y'}{x-x'}$ = $\frac{0+2}{1-0}$ = 2

and C = -2

So equation of the line will be y = 2x - 2

But shaded yellow part is below the solid line.

So inequality will be

y ≤ 2x -2

Option C. is the answer.

5 0

3 years ago

Find two consecutive numbers with a product of 121

Crank

One number: x
Its consecutive: x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121

6 0

3 years ago

How do you calculate problems like: 1 million is 70% of what number?

trasher [3.6K]

Answer:

Hope it helps

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3 0

3 years ago

30 points!!! Help me on 1. 2. 3.

BaLLatris [955]

I think 1 is to press C

8 0

3 years ago

(DONT ANSWER JUST FOR POINTS!!!) What is the ratio value shown by this double number line? [Type your answer as a fraction. Use

Komok [63]

Answer: 7/2

Step-by-step explanation:

To find the ratio between the 2 numbers u have to divide the top numbers by the bottom numbers. 7/2 = 3.5 converted into a fraction is 7/2.

Hope this helps :)

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3 years ago