Solve the system by substitution.

Question

minus, 5, x, plus, 3, y, equals, 2
−5x+3y=
2
y, equals, 2, x
y=
2x

Answer 1

We can substitute the expression "2x" for "y" in the equation -5x + 3y = 2:

-5x + 3(2x) = 2
-5x + 6x = 2
x = 2

Now that we have solved for x, we can find the value of y by substituting x = 2 back into y = 2x:

y = 2(2)
y = 4

Therefore, the solution to the system of equations is x = 2 and y = 4.