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AleksAgata [21]

3 years ago

11

two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7.

find the numbers

1 answer:

steposvetlana [31]3 years ago

7 0

2x+3y=4
x=2-3/2y

3x+4y=7

3(2-3/2y)+4y=7
6-9/2y+4y=7
-1/2y=1
y=-2

3x+4(-2)=7
3x=15
x=5

So the two numbers are 5 and -2

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( i )

$= > \frac{1}{7} \times x = 1 \\ \\ \\ \\ = > \frac{1}{7} \times 7 \times x = 1 \times 7 \\ \\ \\ \\ = > x = 7$

( ii ) :

$= > \frac{5}{4} \times x = 1 \\ \\ \\ \\ = > \frac{5}{4} \times \frac{4}{5} \times x = 1 \times \frac{4}{5} \\ \\ \\ \\ = > x = \frac{4}{5}$

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$= > 3\frac{1}{2} \times x = 1 \\ \\ \\ \\ = > \frac{7}{2} \times x = 1 \\ \\ \\ \\ = > \frac{7}{2} \times \frac{2}{7} \times x = 1 \times \frac{2}{7} \\ \\ \\ \\ = > x = \frac{2}{7}$

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