Question

If 13x + 19y = 90 and 19x + 13y = 70 then x + y =?​

Answer 1

Answer:

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Answer 2

$x+y=5$ is the answer

Step-by-step explanation:

Given equations:

$13x+19y=90$ ................................(1)

$19x+13y=70$ ................................(2)

Multiply eq. (1) with 19:

$247x+361y=1710$ ..............................(3)

Multiply eq. (2) with 13:

$247x+169y=910$ ...................................(4)

Now subtract eq. (4) from eq. (3):

$192y=800$

$y=\frac{25}{6}$

now put the value of y in eq. (2)

$19x+13\times \frac{25}{6} =70$

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

Now

$x+y=\frac{25}{6} +\frac{5}{6}$

$x+y=5$

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TOPIC: linear equation in two variable

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