use substitution to solve the system -5x+24=27 and y=2x+11
What you do is replace y with 2x+11
Are you missing a y in your first equation? Is it 24x
If so,
-5x + 24(2x+11) = 27
solve for x and then solve for y.
X=10.5
y=13 ...so,
you place them in cordinate pairs, like this: (10.5,13)
x y
Hope this helped.
To solve the given system of equations using the substitution method, follow these steps:
1. Start by isolating one of the variables in one of the equations. Let's isolate y in the second equation, which is given as y = 2x + 11.
2. Now, substitute the isolated value of y (2x + 11) into the first equation (-5x + 24 = 27). Replace y with 2x + 11, so the equation becomes: -5x + 24 = 27.
3. Solve the resulting equation for x:
-5x + 24 = 27
Subtract 24 from both sides: -5x = 3
Divide both sides by -5: x = -3/5
4. With the value of x determined, substitute it back into the second equation to find the value of y:
y = 2x + 11
Replace x with -3/5: y = 2*(-3/5) + 11
Simplifying the expression: y = -6/5 + 11
Adding the fractions: y = -6/5 + 55/5
Combining the fractions: y = 49/5
Therefore, the solution to the system of equations is x = -3/5 and y = 49/5.