Question

6y-5x=11; 4x=7y-22
please help ​

Answer 1

$\huge\purple{ANSWER:}$

First see the first equation : multiply both sides by 2 →

$2(6y - 5x) = 2 \times 11$

$12y - 10x = 22$

Now see the second equation →

$4x = 7y - 22$

$7y - 22 = 4x$

$7y = 4x + 22$

$7y - 4x = 22$

Now these equations would look like this →

$12y - 10x = 22$

$7y - 4x = 22$

So, you can relate that →

$12y - 10x = 7y - 4x$

$12y - 7y = 10x - 4x$

$5y = 6x$

$y = \frac{6x}{5}$

Now, put the value of y in your starting first equation→

$12( \frac{6x}{5} ) - 10x = 22$

$\frac{72x}{5} - 10x = 22$

$(14.4)x - 10x = 22$

$(4.4)x = 22$

$x = \frac{22}{4.4}$

$x = 5$

We know that→

$y = \frac{6x}{5}$

$y = \frac{6 \times 5}{5}$

$y = 6$

AND THAT'S OUR ANSWER!!!

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