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34kurt
2 years ago
14

Solve the systems of equations by substitution. 2x+y=-2 3x-y=7

Mathematics
1 answer:
lukranit [14]2 years ago
5 0

Answer:

To solve the system of equations by substitution:

<u>2x+y=-2</u>

<u>3x-y=7</u>

first solve for y:

2x+y=-2

y=-2x-2

Then plug ^^ equation for y in the other equation

3x-(-2x-2)=7

5x+2=7

5x=5

x=1

Then solve for y:

2(1)+y=-2

y=-4

Final answer is x = 1 and y = -4

Hope it helps!

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Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

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A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

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7 0
3 years ago
Write the equation of a line that passes through two points (-1, 0) and (4, -5).
sleet_krkn [62]

Answer:

<u>y = -1 (x) -1</u>

Step-by-step explanation:

If you plug in the numbers from the coordinates into the equation, you will find that it's true.

-1 is x and 0 is y. Plug in the #s like so:

y = -1 (x) -1

0 = -1 (-1) - 1

0 = 1 - 1

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Therefore, the equation above represents the line that passes through both these points.

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Savatey [412]
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7 0
3 years ago
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xxTIMURxx [149]

Answer:

x = 6

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Step-by-step explanation:

7 0
2 years ago
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