If 2x+y= 59.75 and 5x+3y=97 how much does x and y equal to?

Answer 1

Hi, Anna.

Okay, so you have 2 equations.

2x + y = 59.75

5x + 3y = 97

So you can multiply the first equation by 3:

3(2x + y = 59.75) =

6x + 3y = 179.25

Then you can subtract the 2nd equation from it to eliminate the y variable.

6x + 3y = 179.25

5x + 3y = 97

Subtract the 2nd equation and you are left with:

x = 82.25

Now you can substitute that x - value into either equation to find y:

5(82.25) + 3y = 97

411.25 + 3y = 97

3y = -314.25

y = -104.75

Now, substitute the values into the first equation to check your answer:

2(82.25) + -104.75 =

164.50 - 104.75 = 59.75

which is correct.