Solve the system of equations. 8x−3y= −22 y=10+4x (1 point)
To solve the system of equations, we need to substitute the value of y from the second equation into the first equation.
Substituting y = 10 + 4x into the first equation:
8x - 3(10 + 4x) = -22
Distributing:
8x - 30 - 12x = -22
Combining like terms:
-4x - 30 = -22
Adding 30 to each side:
-4x = 8
Dividing by -4:
x = -2
Now, substitute this value of x back into the second equation to solve for y:
y = 10 + 4(-2)
y = 10 - 8
y = 2
Therefore, the solution to the system of equations is x = -2, y = 2.
To solve the system of equations, we can use the substitution method.
We can start by substituting the value of y from the second equation into the first equation.
Substituting y = 10 + 4x into 8x - 3y = -22:
8x - 3(10 + 4x) = -22.
Simplifying this equation:
8x - 30 - 12x = -22,
-4x - 30 = -22.
Next, we can isolate the variable x. Adding 30 to both sides:
-4x - 30 + 30 = -22 + 30,
-4x = 8.
Dividing both sides by -4:
-4x / -4 = 8 / -4,
x = -2.
Now that we have the value of x, we can substitute it back into the second equation to find the value of y.
Substituting x = -2 into y = 10 + 4x:
y = 10 + 4(-2),
y = 10 - 8,
y = 2.
Therefore, the solution to the system of equations is x = -2 and y = 2.
To solve the system of equations, we can use the method of substitution.
In the second equation, we have y = 10 + 4x. We can substitute this expression for y in the first equation to eliminate y and solve for x.
So, we have:
8x - 3y = -22
Substituting y = 10 + 4x:
8x - 3(10 + 4x) = -22
Simplifying this equation, we distribute the -3 to both terms inside the parentheses:
8x - 30 - 12x = -22
Combining like terms, we have:
-4x - 30 = -22
Adding 30 to both sides:
-4x = 8
Dividing both sides by -4:
x = -2
Now, we have found the value of x. To find the value of y, we can substitute the value of x = -2 into one of the original equations. Let's use the second equation:
y = 10 + 4x
Substituting x = -2:
y = 10 + 4(-2)
Simplifying:
y = 10 - 8
y = 2
Therefore, the solution to the given system of equations is x = -2 and y = 2.