solve using the substitution method
8x+6y=8
-9x+y=22
The solution is (___,___)
1.8X + 6Y = 8
2. -9X + Y = 22
Using Eq. 2, solve for y.
Y = 9X + 22
Substitute 9X + 22 for y in Eq 1:
8X +6(9X + 22) = 8.
Solve for X:
8X + 54X + 132 = 8
X = -2.
In Eq. 2,substitute -2 for X and
solve for Y:
-9(-2) + Y = 22, Y = 4
Solution: X = -2, and Y = 4.
thank you Henry!!!!
To solve the system of equations using the substitution method, we can follow these steps:
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the second equation for y:
-9x + y = 22
y = 9x + 22
Step 2: Substitute the expression obtained in step 1 into the other equation.
Now we substitute the expression for y in the first equation:
8x + 6(9x + 22) = 8
Step 3: Solve the resulting equation.
8x + 54x + 132 = 8
62x + 132 = 8
62x = -124
x = -2
Step 4: Substitute the value of x back into one of the original equations to find the value of y.
Let's use the second equation:
-9x + y = 22
-9(-2) + y = 22
18 + y = 22
y = 4
So the solution to the system of equations is (x, y) = (-2, 4).