use method of substitution to solve the system of linear equations.
2x-y=3 9x-4y=14
is the solution an ordered pair(,)
hint:
from the 2nd: y = 2x-3
plug into the first...
let me know what you got
not sure what you are saying
To solve the system of linear equations using the method of substitution, you need to solve one equation for one unknown and substitute that expression into the other equation.
Let's solve equation 1 (2x - y = 3) for y:
2x - y = 3
-y = -2x + 3 (subtract 2x from both sides)
y = 2x - 3 (multiply all terms by -1 to change the sign of y)
Now that we have y in terms of x, we can substitute this expression into equation 2 (9x - 4y = 14):
9x - 4(2x - 3) = 14 (substitute the value of y)
9x - 8x + 12 = 14 (distribute -4 to both terms inside the parentheses)
x + 12 = 14 (combine like terms)
x = 14 - 12 (subtract 12 from both sides)
x = 2
Now, substitute the value of x back into equation 1 to solve for y:
2x - y = 3
2(2) - y = 3 (substitute x = 2)
4 - y = 3 (multiply)
-y = 3 - 4 (subtract 4 from both sides)
-y = -1 (simplify)
y = 1 (multiply by -1 to change the sign of y)
So the solution to the system of linear equations is x = 2 and y = 1. Therefore, the ordered pair (x, y) is (2, 1).