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Anton [14]
3 years ago
12

What is the solution of this system of linear equations?

Mathematics
2 answers:
kirill115 [55]3 years ago
8 0

Answer:

Step-by-step explanation:

y=3x-2                  ---------------------(1)

y-2=x                    ---------------------(2)

substituting (2) in (1),

y=3x-2

y=3(y-2)-2

y=3y-6-2

-3y+y=-6-2

-2y=-8

∴ y=4                       ----------------------(3)

substituting (3) in(2)

y-2=x

x=4-2

∴x=2

hence,(2,4)

HOPE IT HELPS YOU!!!!

creativ13 [48]3 years ago
6 0

Answer: D

Step-by-step explanation:

Consider the first equation. Subtract 3x from both sides.

y−3x=−2

Consider the second equation. Subtract x from both sides.

y−2−x=0

Add 2 to both sides. Anything plus zero gives itself.

y−x=2

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

y−3x=−2,y−x=2

Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.

y−3x=−2

Add 3x to both sides of the equation.

y=3x−2

Substitute 3x−2 for y in the other equation, y−x=2.

3x−2−x=2

Add 3x to −x.

2x−2=2

Add 2 to both sides of the equation.

2x=4

Divide both sides by 2.

x=2

Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.

y=3×2−2

Multiply 3 times 2.

y=6−2

Add −2 to 6.

y=4

The system is now solved.

y=4,x=2

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Find the average rate of change for the function f(x) =x^2 -6x+2 on the closed side interval (-5,2)
s344n2d4d5 [400]

Answer:

- 9

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [ - 5, 2 ], thus

f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6

f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus

average rate of change = \frac{-6-57}{2-(-5)} = \frac{-63}{7} = - 9

6 0
3 years ago
Christina goes to the market with $50. She buys one papaya for $8 and spends the rest of the money on bananas. Each banana costs
velikii [3]
Christina can buy 7 bananas because one papaya is 8 dollars and then you do 50-8=42 and then 42/6 which equals 7.

Billy can only buy one pair of jeans. The reason is that jeans are 35 bucks and he has already spent  55 dollars on a hat and jacket and that leaves him with 35 bucks left so 35-35 equals zero!
4 0
3 years ago
What is the sum of (1.3 × 10-7) and (-3.8 × 10-3)?
SVETLANKA909090 [29]

b. -2.5 × 10-4  is the answer




3 0
3 years ago
FAST HURRY HELP PLZZ
Angelina_Jolie [31]

Answer:

I think its A but not 100 percent sure

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together , they have a total of 63.00. How much money does ea
Setler [38]
Since no value is given to Eva, we'll call her x. Justin, then, is 7.50+x. That leaves Emma, who would be Justin (7.50+x) -12. If we add them all together we get 63. So our equation is

x + (7.50+x) + (7.50+x)-12 = 63

Combine like terms

x+x+x + 7.50+7.50-12 = 63
3x + 3 = 63
3x = 60
x = 20

Since we said Eva is x then Eva has 20 dollars.

Justin is 7.50 + x so 7.50+20=
$27.50

Emma is Justin - 12 so 27.50-12= $15.50

Let's check our answer...

15.50+27.50+20 = 63
63=63

It checks!
4 0
3 years ago
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