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ValentinkaMS [17]
2 years ago
10

Y=-3x + 10 y = -2x + 6 Substitution method

Mathematics
2 answers:
Nutka1998 [239]2 years ago
7 0

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

Julli [10]2 years ago
7 0

Answer:

Solution is the point (4, -2)

Step-by-step explanation:

use the expression for y from the first equation in the second equation:

then the equation y = - 2 x + 6 becomes:

- 3 x + 10 = - 2 x + 6

add 3 x to both sides

10 = 3 x - 2 x + 6

10 = x + 6

subtract 6 from both sides

x = 4

Now replace x with 4 in the first equation to find y:

y = - 3 x + 10 = - 3 (4) + 10 = - 12 + 10 = -2

Therefore this is the point solution to the system:

(4, -2)

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Answer:

193.95 Canadian dollars

Step-by-step explanation:

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To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293

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4 0
3 years ago
A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how h
lozanna [386]

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<u>Step-by-step explanation:</u>

Draw a picture (see attachment)

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\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y\\

                                                                            \large\boxed{42.3\ ft}=y

5 0
2 years ago
Reduce to simplest form. - 3/5 + 1/3
Pani-rosa [81]

Answer: -4/15

Step-by-step explanation: To add these two fractions together,

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Since our denominators of 5 and 3 have no factors in common,

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That gives us -9/15 + 5/15 which simplifies to -4/15.

As your last step, make sure that the fraction

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3 years ago
How do you divide 75 into 1000
Maksim231197 [3]
The answer is going to be a fraction...which is 75/1000, otherwise known as 1/40
3 0
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