Tom has 39 silver dollars. You can do this on your head. Jimmy has 32, and Tom 39.
All you have to do is substitute the y value from the 1st equation into the second equation and solve...
a) y= 2-x
5x + 4y = 5
Substitute (2-x) into the second equation anywhere there is a y...
5x + 4y = 5
5x + 4(2-x) = 5
Now solve
5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3
Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...
y = 2 - x
y = 2 - (-3)
y = 2+3 = 5
You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).
Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...
y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5
True statement... it checks!
note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
0.04 is the correct answer
X=first train speed
y=second train speed
sum of speeds is 725.2
x+y=725.2
x is 10.8 more than y
x=10.8+y
subsitute 10.8+y for x
10.8+y+y=725.2
10.8+2y=725.2
minus 10.8 from both sides
2y=714.4
divide both sides by 2
y=357.2
x=10.8+y
x=10.8+375.2
x=386
the speed of first train is 386mph
second train is 357.2mph
