Question

What is the solution to the system of equations represented by the two equations?

y = -2x + 7

y= 1/3x

Answer 1

there are 2 placeholder
it's easier if we had one
get rid of one with subsitutuion
y=-2x+7
y=1/3x
therefor
-2x+7=y=1/3x
-2x+7=1/3x
solve for x
multipl yboth sides by 3
-6x+21=x
add 6x to both sides
21=7x
divide both sides by 7
3=x
subsitute
y=1/3x
y=1/3(3)
y=3/3
y=1

the solution is x=3
y=1 or the point
(x,y)
(3,1)

Answer 2

If you would like to solve the following system of equations, you can do this like this:

y = - 2 * x + 7
y = 1/3 * x
____________
1/3 * x = - 2 * x + 7
1/3 * x + 2 * x = 7
1/3 * x + 6/3 * x = 7
7/3 * x = 7 /*3/7
x = 7 * 3 / 7
x = 3

y = 1/3 * x = 1/3 * 3 = 1

The correct result would be: x = 3 and y = 1.