Use inverse operations and subtract 3 from 9 which is -12 then divide -12 by 6 which is -2
-9=3+6x
-3 -3
-12=6x
-12/6=6x/6
-2=x
The answer is (6, 7)
This is the system of two equations:
<span>2y − x = 8
y − 2x = −5
_____
Express the second equation in the term of y:
2y - x = 8
y = 2x - 5
_____
Substitute y in the first equation:
2(2x - 5) - x = 8
4x - 10 - x = 8
4x - x = 10 + 8
3x = 18
x = 18/3
x = 6
Since x = 6 and y = 2x - 5, then:
y = 2 * 6 - 5
y = 12 - 5
y = 7
Therefore, (x, y) = (6, 7)</span>
<span>A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.
let x = gallons of gas they will use
y = distance traveled
x = y/20
x = 1058/20 = 52.9 gallons of gas
B. Write and solve an algebraic equation to find out how many miles they will travel.
</span>let x = distance traveled
y = gallons of gas used
x = 20y
x = 20(52.9)
x = 1058 miles
Hope this helps. Have a nice day.
