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ANEK [815]
3 years ago
5

Find the solution to the system of equations.y=2x+3 and y=-3x+3

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

x = 0 and y = 3

Step-by-step explanation:

Using elimination method, we can solve for x and y in the simultaneous equation

y = 2x + 3   .................................eqn 1

y = -3x + 3  .................................eqn 2

multiply equation 1 by 3 and equation 2 by 2, then we will have

(y = 2x + 3) × 3

(y = -3x + 3) × 2

3y = 6x + 9   ...............................eqn 3

2y = -6x + 6 ................................eqn 4

Add eqn 3 and 4 together and we will eliminate x and have

5y = 15

Divide both sides by 5, and we will have

y = 3

To solve for x, substitute 3 for y in eqn 1

y = 2x + 3

3 = 2x + 3

collect like terms

3 - 3 = 2x

0 = 2x

Therefore x = 0

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In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, hoW many light colors are there.
Kisachek [45]

Answer:

32

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help ASAP anyone
eduard

Answer:

90

Step-by-step explanation:

there is 6 sides of box

2 bigger and 4 smaller

area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50

now come to the smaller sides ( we have 4 here)

are of one side is 2× 5 = 10

so are of all 4 sides is 10× 4 = 40

now we get area of 4 smaller sides and 2 bigger sides

total area of box is 40+ 50 = 90

hope you understand

5 0
3 years ago
David borrowed $2500 from his local bank. The yearly interest rate is 8%. If David pays the full principle and interest in the f
yaroslaw [1]
He pays $200 interest
6 0
3 years ago
An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year
Sergeeva-Olga [200]
The answer is $1,026.

Solving: Use Simple interest formula, I=Prt.

Make the rate into a decimal (1.6% -> 0.016)

plug in the numbers into the formula. 950 x 0.016 x 5 = 76$.

76$ will be our interest, now to find the balance we would have to add the the starting money (950) with our interest (76$), resulting in our answer of $1,026 after 5 years.
5 0
2 years ago
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Factor the following equation to find its zeros. y = x² - 36
alukav5142 [94]

Answer:

x = 6, x = - 6

Step-by-step explanation:

Given

y = x² - 36

To find the zeros let y = 0, that is

x² - 36 = 0 ← x² - 36 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 36 = 0

x² - 6² = 0

(x - 6)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 6 = 0 ⇒ x = - 6

3 0
3 years ago
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