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3 years ago

What is the solution to the system of equations below?

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

$4x - y = - 5 \\ - 2x + y = 3$

Solve the second equation for y

$4x - y = - 5 \\ y = 3 + 2x$

Substitute the given value of y into the first equation

$4x - (3 + 2x) = - 5$

Solve the equation for x

$x = - 1$

Substitute the given value of x into the second equation

$y = 3 + 2( - 1)$

Solve the equation for y

$y = 1$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = ( - 1, 1)$

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Evaluate 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power.

igomit [66]

The evaluation of 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power is as follows:

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = 6.76$

<h3>How to evaluate an expression?</h3>

2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power.

The following expression can be evaluated as follows;

$(\frac{2.6^{7} }{2.6^{6} } )^{2}$

Using the law of indices,

$(A^{x} )^{y} = A^{xy}$

Therefore,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = (\frac{2.6^{14} }{2.6^{12} } )$

Using the law of indices,

$\frac{A^{x} }{B^{y} } = A^{x-y}$

Hence,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = (\frac{2.6^{14} }{2.6^{12} } ) = 2.6^{14-12} = 2.6^{2} = 6.76$

Therefore,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = 6.76$

The evaluation of 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power is 6.76.

learn more on expression here: brainly.com/question/28337613

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7 0

2 years ago

The last word in the first sentence of the Einstein quote is

pochemuha

Answer:

A.) Longer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Does anyone know how to solve this

Fofino [41]

Here is the answer the app is called cymath btw

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3 years ago

Can anyone help this?

jekas [21]

Answer:

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Step-by-step explanation:

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3 years ago

If angle 1 and angle 2 are supplementary angles, and angle 3 and angle 2 are supplementary angles, what do you know about angle

dusya [7]

Answer:

angle 1 and angle 3 are congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.

_____

If you like, you can get there algebraically:

m∠1 + m∠2 = 180

m∠3 + m∠2 = 180

Subtract the second equation from the first:

(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)

m∠1 -m∠3 = 0 . . . . simplify

m∠1 = m∠3 . . . . . . add m∠3

When angle measures are the same, the angles are congruent.

∠1 ≅ ∠3

4 0

4 years ago