Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?

15x+25y=975

x+y=55

Rearrange equation two so x is by itself.

x=-y+55

Plug the rearranged equation two into equation one.

15(-y+55)+25y=975

Evaluate the 'new' equation 1.

-15y+825+25y=975

10y+825=975

10y=150

y=15

Choose an equation to evaluate with y to get x. (i chose equation 2 because it was easier)

x+15=55

Evaluate the equation

x=55-15

x=40

So now we have x=40 and y=15

Evaluate those two terms with both equations to check the correctness.

15(40)+25(15)=975

600+375=975

975=975 (correct)

40+15=55

55=55 (correct)

Both equations are correct so the values of x and y are true.

Please mark as brainliest. :)

1) Identity has become very prominent in American culture in recent years. What you look like; where you come from; how much you earn and how you talk, are the superficial indices that many use to peg you into one group or another. What is being lost is an appreciation of a deeper identity; one that manifests itself through a person’s character.

2) The culture of the United States of America is primarily of Western origin, but is influenced by a multicultural ethos that includes African, Native American, Asian, Pacific Island, and Latin American people and their cultures.

3) idk i dont really read

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