8olve the simultaneous equations 4x 7y 3x 10 15
sorry about the scribbled stuff

4x + 7y = 1
3x + 10y = 15
Solution:
x = -5
y = 3

YAY, I love these. Been doing them in class for the past month:

4x+7y=1 #first equation
3x+10y=15 #second equation

Ok first of all you need to find a common number\multiple for either X or Y.

I'm choosing X because they are easier numbers

First Eqn * 3 = 12x + 21y = 3

Second Eqn * 4 = 12x + 40y = 60

So now we can do one or two things: rearrange either to get something like "x=5-y" and then substitute into the equation, or we can subtract them both (which is easier):

So i'm going to subtract them both (this is called the elimination method)

12x + 21y = 3
-(12x + 40y = 60)
-19y = -57
19y = 57
y = 57/19
y = 3

Now we know y=3 we put this into any equation we have gotten and then solve for "x"
4x + 7(3) = 1
4x + 21 = 1
4x = -20
x = -5

To conclude, y=3 x=-5

Sorry if the spacing is bad, writing this on my phone

The answer would be 484

Lines that intersect at one point