substitution method what is the cordinate for x+y=5 3x-2y=10
i need to now the both the numbers for x and y. x=? y=?
x + y = 5 3x - 2y = 10
We want either the x or the y to have the same
coefficient in both equations. Let's make it the y
by multiplying the first equation by 2. Actually,
we will have a +2 and a -2, but that makes it easier.
We can add the equations instead of subtracting.
2(x + y) = 2 * 10
2x + 2y = 20
Now add the two equations.
2x + 2y = 20
+ (3x - 2y = 10)
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5x = 30
5x = 30
x = 6
Substitute that into one of the equations to
solve for y.
x + y = 5
6 + y = 5
y = 5 - 6
y = -1
You have x = 6 and y = -1.