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victus00 [196]
3 years ago
9

Solve the system of equations 3x+2y=14 2x-4y=4

Mathematics
1 answer:
Elenna [48]3 years ago
8 0
3x + 2y = 14....multiply by 2
2x - 4y = 4
----------------
6x + 4y = 28 (result of multiplying by 2)
2x - 4y = 4
----------------add
8x = 32
x = 32/8
x = 4

2x - 4y = 4
2(4) - 4y = 4
8 - 4y = 4
-4y = 4 - 8
-4y = -4
y = -4/-4
y = 1

solution is (4,1)
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6 0
3 years ago
Read 2 more answers
F(x)=x^2+10x-12
weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = x^{2} +  10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ x^{2} + 10x -12 = 0    ⇒    x  = (-10 ± \sqrt{10^{2} +(48)} ) ÷ 2                                                          

                                          = (-10 ± 12.166)÷2        =   2.08, -11.08

Therefore the two values required are 2.08 and -11.08

3 0
3 years ago
If one out of 12 students at a school share a locker how many share a locker in a school of 456
Kobotan [32]

Answer:

456/12= 38  means 38 kids share a locker

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Find m∠XYW and m∠WYZ m
makvit [3.9K]

Answer:

<XYZ = 117°

<XYW+ WYZ = 117°

(6x+44)+(-10x+65)= 117°

6x+44-10x+65= 117°

-4x+ 109= 117°

-4x= 117-109

-4x= 8

x= 8/-4

x= -2

<XYW= 6x+44= 6×-2+44= -12+44= 32°

<WYZ= -10x+65 = -10×-2+ 65= 20+65= 85°

Step-by-step explanation:

7 0
3 years ago
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