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il63 [147K]
4 years ago
12

3x=-5y 6x-7y=17 Solve the equation

Mathematics
1 answer:
love history [14]4 years ago
7 0
3x = -5y -------------- (1)
6x - 7y = 17 --------- (2)

From (1):
3x = -5y
x = -5/3 y ---------- sub into (2)

6 (-5/3 y) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1 ------------ Sub into (1)
3x = -5 (-1)
3x = 5
x = 5/3

Ans: x = 5/3, y = -1

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3 years ago
Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
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Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE
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Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

y= \frac{5}{7} x + 5  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y

so the equation would be y= \frac{5}{7} x + 5

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

y=\frac{-7}{5} x+79 is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

30 = \frac{-7}{5}(35) + y \\30 = -49 + y  \\79 = y

so the equation would be y=\frac{-7}{5} x+79

6 0
2 years ago
Ram and his sister Kalpana win a prize of Rs 2000. They decide to share the prize in the ratio of their ages. Ram is 15 years ol
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Answer:

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  • Kalpana -- ₹800

Step-by-step explanation:

Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.

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8 0
3 years ago
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