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xz_007 [3.2K]
3 years ago
7

What is the solution to the system of equations x = y + 4 2x - 3y = -2

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer: x = 14 and y = 10

Step-by-step explanation: What we have in the question is a pair of simultaneous equations as follows(

x = y + 4 ———(1)

2x - 3y = -2 ——(2)

Looking at both equations, one of the variables has a coefficient of 1, and as a result of that, we shall use the substitution method.

From equation (1), x = y + 4

Substitute for the value of x in equation (2)

2x - 3y = -2

2(y + 4) - 3y = -2

2y + 8 -3y = -2

-y + 8 = -2

Subtract 8 from both sides of the equation

-y +8 -8 = -2 -8

-y = -10

Divide both sides of the equation by -1

y = 10

Having calculated y, substitute for the value of y into equation (1)

x = y + 4

x = 10 + 4

x = 14

Therefore, x = 14 and y = 10

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The graph shows the plans for a fence that Macy is building around her vegetable garden. Each unit on the graph represents 5 fee
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Answer:

70

Step-by-step explanation:

5*4=70

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2 years ago
Find the sum.
Strike441 [17]

You are gonna use the distributive property.

4(2.5g - 4) + 3(1.2g - 2)

So you are going to multiply 4 with everything inside the first set of parenthesis and your gonna multiply 3 with everything insides the second set of parenthesis.

4 x 2.5g - 4 x 4 + 3 x 1.2g - 3 x 2

10g - 16 + 3.6g - 6

You wanna combine like terms:

10 - 3.6g + 16 - 6

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You answer is 6.4g + 10.

Hope this Helps!!

6 0
3 years ago
how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three
MrRissso [65]

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

7 0
2 years ago
Find the lateral area of the regular pyramid<br><br> L.A. =
Arisa [49]

Answer:

FOR REGULAR PYRAMID with those dimension.

L.A = 96

FOR HEXAGONAL PYRAMID with those dimension

L.A = 171.71

Step-by-step explanation:

Please the question asked for L.A of a REGULAR PYRAMID, but the figure is a HEXAGON PYRAMID.

Hence I solved for both:

FOR REGULAR PYRAMID

Lateral Area (L.A) = 1/2* p * l

Where p = Perimeter of base

P = 4s

P = 4 * 6

P = 24cm

l = slanted height

l = 8cm

L.A = 1/2 * 24 * 8

L.A = 1/2 ( 192)

L.A = 96cm ^ 2

FOR AN HEXAGONAL PYRAMID

Lateral Area = 3a √ h^2 + (3a^2) / 4

Where:

a = Base Edge = 6

h = Height = 8

L.A = 3*6 √ 8^2 + ( 3*6^2) / 4

L.A = 18 √ 64 + ( 3 * 36) / 4

L.A = 18 √ 64 + 108/4

L.A = 18 √ 64+27

L.A = 18 √ 91

L.A = 18 * 9.539

L.A = 171.71

8 0
3 years ago
What is perimeter and area
miss Akunina [59]
Perimeter is the surrounding of a shape area is the space inside a shape
5 0
3 years ago
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