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nadezda [96]
4 years ago
8

Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14

Mathematics
2 answers:
Stels [109]4 years ago
6 0

Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

-2a+3b=14 -----> equation A

a-4b=3 ----> equation B

Solve the system by elimination

Multiply by 2 both sides equation B

2(a-4b)=2(3)

2a-8b=6 ----> equation C

Adds equation A and equation C

-2a+3b=14\\2a-8b=6\\-------\\3b-8b=14+6\\-5b=20\\b=-4

<em>Find the value of a</em>

substitute the value of b in any equation (i take equation B)

a-4(-4)=3

a+16=3

a=-13

therefore

The solution of the system is the ordered pair (-13,-4)

cestrela7 [59]4 years ago
3 0

Answer:

(-13,-4)

Step-by-step explanation:

Trust Me, took the test

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Elodia [21]

Answer:

Let's simplify step-by-step.

−3(x−4)+3(y−6)

Distribute:

=(−3)(x)+(−3)

(−4)+(3)(y)+(3)(−6)=−3x+12+3y+−18

Combine Like Terms:

=−3x+12+3y+−18=(−3x)+(3y)+( 12+18)=−3x+3y+−6

Answer:

=−3x+3y−6

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Step-by-step explanation:

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3 years ago
(Please someone help me!) (No links!)
mr_godi [17]

Answer: 1 4/5 / 2/7 = 63/

10

= 6 3/10  

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Step-by-step explanation:

Conversion a mixed number 1 4/

5

to a improper fraction: 1 4/5 = 1 4/

5

= 1 · 5 + 4/

5

= 5 + 4/

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= 9/

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To find a new numerator:

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5

= 5/

5

b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9

c) Write a previous answer (new numerator 9) over the denominator 5.

One and four fifths is nine fifths

Divide: 9/

5

: 2/

7

= 9/

5

· 7/

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= 9 · 7/

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Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

7

is 7/

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) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - nine fifths divided by two sevenths = sixty-three tenths.

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Step-by-step explanation:

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<em>÷ 2  ÷2 </em>

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