Question

√3x - √2y - √3 = 0
√5x + √3y - √2 = 0
Solve the above equation by the elimination method..

The sum of the numerator and denominator is equal to 7. Four times the numerator is less
than 5 times the denominator by 8. Find the fraction.​

Answer 1

Answer:

Here's what we get when we multiply the first equation by 222 and the second equation by -3−3minus, 3

6x - 22y = -26x−22y=−26, x, minus, 22, y, equals, minus, 2

-6x + 15y = 9−6x+15y=9minus, 6, x, plus, 15, y, equals, 9

Now let's add these equations:

-7y = 7−7y=7minus, 7, y, equals, 7

Solve for yyy:

y = -1y=−1y, equals, minus, 1

Plug into one of the original equations and solve for xxx:

2x - 5y = -32x−5y=−32, x, minus, 5, y, equals, minus, 3

2x - 5(-1) = -32x−5(−1)=−32, x, minus, 5, left parenthesis, minus, 1, right parenthesis, equals, minus, 3

2x + 5 = -32x+5=−32, x, plus, 5, equals, minus, 3

2x = -82x=−82, x, equals, minus, 8

x = -4x=−4x, equals, minus, 4

The answer:

x = -4x=−4x, equals, minus, 4

y = -1y=−1