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Step2247 [10]
3 years ago
11

Use substitution to solve the system of equations -2x+y= -1 and 6x-2y = 12. show your work.​

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0

Answer:

value of x = 5

y = 9

Step-by-step explanation:

here's the solution : -

=》-2x + y = -1

=》y = -1 + 2x

now, plugging the value of y in equation 2. we get ,

=》6x - 2y = 12

=》6x - 2 (2x - 1) = 12

=》6x - 4x + 2 = 12

=》2x = 12 - 2

=》x = 10 ÷ 2

=》x = 5

plugging the Value of x in equation 1; we get : -

=》-2x + y = -1

=》-2 (5) + y = -1

=》-10 + y = -1

=》 y = -1 + 10

=》y = 9

Natali [406]3 years ago
4 0

Answer:

y = 9

i have made it in above picture

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If the sine of angle a is 15/17 what is the cosine of angle a
Aleonysh [2.5K]

Answer:

sin A = opp/hyp = 15/17

Right triangle

Therefor

a² + b² = c²

adj² + opp² = hyp²

adj² + 15² = 17²

adj² = 17² - 15²

adj² = 289 - 225

adj² = 64

adj = 8

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cos A = 8/17 <–––––

Step-by-step explanation:

5 0
3 years ago
HELP?! PLEASE! Which point is a reflection of7(-6.5,1) across the x-axis and y-axis?
Mandarinka [93]

Answer:

Dont need to worry

First, start off with the x-axis. -6.5, 1 becomes 6.5, 1. This is because point T is 6.5 to the left of the x-axis line, so our new point would be 6.5 to the right of the x-axis line. Same thing for the y-axis, (6.5, 1) would become (6.5, -1).

4 0
3 years ago
Which of the following is the solution to the compound inequality below? 5/2+x_&gt;1/3 or x+2 &lt; -29/6 A.x_&gt;-2/3or x &lt;-2
Andreas93 [3]

Answer:

D. x ≥ -13/2 or x < -41/6

Step-by-step explanation:

  • 5/2+x ≥ 1/3 ⇒ x ≥ 1/3 -5/2 ⇒ x ≥  - 13/2

or

  • x+2 < -29/6 ⇒ x < -29/6 - 2 ⇒ x < -41/6

So combined the answer is:

  • x ≥ -13/2 or x < -41/6

Option D is correct

3 0
3 years ago
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