what is the solution of the following system of equations?
2y + 3x = 8
y = 1/2x
a) (2,3)
b) (2,1)
c) (1,2)
d) (3,2)
thanks
cmon u don't need help for this one !
but anyway here is a hint : REPLACE
enough said :)
Substitute 1/2x for y in the first equation to solve for x. Put that value in the second equation to solve for y. Check by putting both values into the first equation.
To solve this system of equations, we will use the method of substitution. We have two equations:
Equation 1: 2y + 3x = 8
Equation 2: y = 1/2x
Since Equation 2 is already solved for y, we can substitute the value of y from Equation 2 into Equation 1.
Substituting y = 1/2x into Equation 1:
2(1/2x) + 3x = 8
x + 3x = 8
4x = 8
x = 2
Now that we have the value of x, we can substitute it back into Equation 2 to find the value of y:
y = 1/2(2)
y = 1
Therefore, the solution to this system of equations is (2, 1).
Hence, the correct answer is b) (2, 1).