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3 years ago

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

Mathematics

2 answers:

Stels [109]3 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

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

Find the value of a

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]3 years ago

3 0

Answer:

(-13,-4)

Step-by-step explanation:

Trust Me, took the test

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The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Andreyy89

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250 - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

7 0

3 years ago

HELP ASAP!! WILL GIVE BRAINLIEST ❤️

yan [13]

Answer:

the slope is negative

Step-by-step explanation:

because they both have negative signs so that would make the line go down

4 0

2 years ago

Explain how to find the sum −8.46+5.31. a.) Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative. b.

Amanda [17]

Step-by-step explanation:

Sum of −8.46 and 5.31 means we need to add −8.46+5.31.

We know that,

|-8.46| > |5.31|

It means we subtract 8.46 - 5.31

At hundredth place, 6-1 = 5

At tenths place, 4-3 = 1

At ones place, 8-5 = 3

It would mean that, 8.46 - 5.31 = 3.15

8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15

Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".

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2 years ago

Which quadrant in a coordinate plane has two positive points

vodomira [7]

Answer:

The first quadrant

Step-by-step explanation:

Aka upper right quadrant

6 0

3 years ago

The product of 12 and k is 84.

Vesnalui [34]

Answer:

to solve this we do the oppisite of multiplication which is division

so 84 divided by 12 = 7 so that means that our mysterious k = 7

so reprhase the sentence so '' The product of 12 and 7 is 84

hope this helps:)

Step-by-step explanation

8 0

3 years ago

Read 2 more answers