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Furkat [3]
2 years ago
6

Find the solution to the system of equations: 7x-8y=-23 7x-7y=-14

Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

<u> -   7x - 7y = -14     </u>

             -y = -9  

Divide both sides by -1 to solve for y:

\frac{-y}{-1} =  \frac{-9}{-1}

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

\frac{7x}{7} = \frac{49}{7}

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

<h3>7x - 8y = -23</h3>

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

<h3>7x - 7y = -14</h3>

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

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Sum is
S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

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a1=first term
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sub
S_{9}=\frac{1(1-(2)^{9})}{1-2}
S_{9}=\frac{1-512}{-1}
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Answer:

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Step-by-step explanation:

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Step 3: Rewrite

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3 years ago
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3 years ago
Which expression is equivalent to 4^-5 • 3^-5 ?
valkas [14]

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

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expand the bracket

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Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

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brainly.com/question/24734894

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1 year ago
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