-7x - 2y = -13
x - 2y = 11
To solve this system of equations, we can use the method of substitution.
From the second equation, we can solve for x in terms of y:
x - 2y = 11
x = 11 + 2y
Substitute this expression for x into the first equation:
-7x - 2y = -13
-7(11 + 2y) - 2y = -13
-77 - 14y - 2y = -13
-16y = 64
y = -4
Now substitute the value of y back into either of the original equations to solve for x:
x - 2(-4) = 11
x + 8 = 11
x = 11 - 8
x = 3
So the solution to the system of equations is x = 3 and y = -4.
To solve the system of equations, we can use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x in terms of y:
x - 2y = 11
x = 2y + 11
Step 2: Substitute the expression for x in terms of y into the other equation.
Substitute 2y + 11 for x in the first equation:
-7(2y + 11) - 2y = -13
Step 3: Simplify and solve for y.
Expand the equation:
-14y - 77 - 2y = -13
Combine like terms:
-16y - 77 = -13
Add 77 to both sides of the equation:
-16y = 64
Divide both sides by -16:
y = -4
Step 4: Substitute the value of y back into one of the original equations to solve for x.
Let's use the second equation:
x - 2(-4) = 11
x + 8 = 11
Subtract 8 from both sides of the equation:
x = 3
The solution to the system of equations is x = 3 and y = -4.
To find the solution to this system of equations, we can use the method of substitution:
Step 1: Let's solve the second equation for x.
x - 2y = 11
x = 11 + 2y
Step 2: Substitute the value of x from the second equation into the first equation.
-7(11 + 2y) - 2y = -13
Simplify the equation:
-77 - 14y - 2y = -13
Combine like terms:
-77 - 16y = -13
Step 3: Solve for y.
-16y = -13 + 77
-16y = 64
Divide by -16:
y = 64 / -16
y = -4
Step 4: Substitute the value of y back into the second equation to solve for x.
x - 2(-4) = 11
x + 8 = 11
Subtract 8 from both sides:
x = 11 - 8
x = 3
So, the solution to the system of equations is x = 3 and y = -4.