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3 years ago

Solve the system by substitution 5x+y=-14 5x- 3y=2

Mathematics

1 answer:

dlinn [17]3 years ago

8 0

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

Check your answer by plugging both values into one of the equations.

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!

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If x/2+ 7 = 4<br> , what is the value of 5x - 7?

horrorfan [7]

Answer:

-37

Step-by-step explanation:

for the first equation to equal 4 the x must equal -6.

because something plus 7 had to equal 4. and we know that -3 + 7 equals 4. Now, -6 ÷ 2 equals -3 and that gives us the right answer.

So now plug -6 into the new problem so now it is

5 × (-6) - 7 so according the PEMDAS, we do 5 × -6 first which is -30. and -30 - 7 equals -37!!

hope this helps :)

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2 years ago

Compare 10x(8+2) and 20x(8+2)

Artist 52 [7]

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3 years ago

Is the square root of eight a rational or irrational number

shutvik [7]

$\bf \sqrt{8}\implies \sqrt{2\cdot 2\cdot 2}\implies \sqrt{2^2\cdot 2}\implies 2\sqrt{2}$

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3 years ago

I need help on that question

Anika [276]

Answer:

the required answer is

$80 \sqrt{3}$

Step-by-step explanation:

here's the solution : -

=》

$4 \sqrt{5} \times 4 \sqrt{15}$

=》

$4 \sqrt{5} \times 4 \sqrt{5} \times \sqrt{3}$

=》

$4 \times 4 \times 5 \times \sqrt{3}$

=》

$80 \sqrt{3}$

3 0

3 years ago

Read 2 more answers

If after 45 minutes han cycled for 6 miles and claire cycled for 9 miles what will the difference between them be after 45 minut

IceJOKER [234]

Answer:

The difference between them will be 6.

Step-by-step explanation:

When they went for their first round of cycling, which was 45 minutes, it was already a distance of 3 miles adding another 6 to Han's miles and another 9 to Claire's miles it would give you 18 and 12 and 18 minus 12 is 6.

Therefore, it was doubled from the distance only being 3 miles to 6 miles.

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3 years ago