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Airida [17]
3 years ago
7

Given the system of equations, what is the solution?

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = \frac{-34}{7}

Plugin x value into either equation to solve for y.

2y = (3 × \frac{-34}{7}) + 10

2y = \frac{-102}{7} + 10

2y = \frac{-32}{7}

y = \frac{-16}{7}

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.Find the unknown angles in each of the following figures and mention the property used​
forsale [732]

Answer/Step-by-step explanation:

a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°

x + y + 50° = 180° (sum of angles in a ∆)

x + 80° + 50° = 180 (substitution)

x + 130° = 180°

x = 180° - 130° (subtracting 130 from each side)

x = 50°

b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)

x = 120 - 50 (subtracting 50 from each side)

x = 70°

y + x + 50° = 180° (sum of angles in a ∆)

y + 70° + 50 = 180° (substitution)

y + 120° = 180°

y = 180 - 120 (subtracting 120 from each side)

y = 60°

7 0
3 years ago
What is the explicit formula for the arithmetic sequence 2, 7, 12, 17,
Ray Of Light [21]

Answer:

x + 5

Step-by-step explanation:

Every time it goes up by a factor of 5

Tell me I am wrong.

Can I get brainliest

4 0
4 years ago
The first two steps in determining the solution set of the system of equations y=x to the second power -2x-3 and y=-x+3
Arisa [49]

The solution set for the both equation is  (3,0) and (-1,0)

We have given that the equation

y=x^2-2x-3 \ and\  y=x+3

We have to determine the solution to the first equation

<h3>What is the quadratic equation formula?</h3>

\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-3\right)}}{2\cdot \:1}

x_{1,\:2}=\frac{-\left(-2\right)\pm \:4}{2\cdot \:1}

x_1=\frac{-\left(-2\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-4}{2\cdot \:1}

x=3,\:x=-1

Now  use this value we have to find the value of y

When x=3 then

y=(3)^2-2(3)-3

y=9-6-3

y=0

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

y=1+2-3

y=0

Therefore the solution set for both equations is (3,0) and (-1,0).

To learn more about the solution set visit:

brainly.com/question/10588366

#SPJ1

7 0
2 years ago
Find the value of x that makes A || B.
vladimir1956 [14]

Answer:

x=20

Step-by-step explanation:

3x-10=x+30

2x-10=30

2x=40

x=20

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3 years ago
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