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m_a_m_a [10]
3 years ago
5

−4x+14y=−16 x−72y=4

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

y = 0

x = 4

Step-by-step explanation:

Given that:

- 4x+14y=−16   ------------ eq1

   x−72y=4   -------------- eq2

Multiplying eq2 with 4 we get:

4x - 288y = 16 ---------- eq3

Now add eq1 and eq3 we get:

-58y = 0

By simplifying:

y = 0

Now put y=0 in eq2:

x - 72(0) = 4

x - 0 = 4

x = 4

So:

y = 0

x = 4

i hope it will help you!

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olivia has $180 to buy presents for her 3 sisters and 2 nephews. She wants to spend $15 more on each sister than she spends on e
koban [17]
So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y

she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve

we have
180=3x+2y and
x=15+y
subsitute 15+y for x

180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y

solve for x
x=15+y
x=15+27
x=42

she spent $42 on each sister
6 0
3 years ago
On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.
slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

(x-8)^2 + (y - 9)^2 = r^2

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

3 0
3 years ago
Read 2 more answers
Solve 7b 3 - 4b = 3 - 3 (b 4)
frez [133]
7b + 3 - 4b = 3 - 3(b + 4)
3b + 3 = 3 - 3b - 12
3b + 3b = 3 - 12 - 3 = -12
6b = -12
b = -12/6 = -2
b = -2
8 0
3 years ago
10y + 10 =130 solve for y
aniked [119]

Answer: y=12

Step-by-step explanation:

10y+10=130

-10 -10

10y=120

—- ——

10. 10

Y=12

5 0
3 years ago
Four less than the product of one and a number X. <br><br><br> Please help me.
satela [25.4K]

Answer:

x−4

Step-by-step explanation:

3 0
3 years ago
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