What is the gcf for 45 51 and 63

1 answer:

7 0

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 45, \ 51\ and\\ 63\ can\ be\ divided\\\\
45:3\\
15:3\\
5:5\\\\
51:3\\
17:17\\\\63:3\\21:3\\7:7\\\\GCF=3\\\\Greatest\ common\ factor\ of\ 45,\ 63\ and\ 51\ is\ equal\ to\ 3.
$

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What is the solution of the simultaneous equations 3x 2y 14 and 4x 3y 13?.

lara31 [8.8K]

The solution of simultaneous equations is x=4 and y = -1.

<h3>What are Simultaneous equations?</h3>

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

To know more about simultaneous equations, visit